Organization
School of Engineering Professor
Title
Professor
External link
NAKAO HIROYA
Degree
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Dr. Sci. ( 1999.3 Kyoto University )
Research Interests
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Physics, Nonlinear sciences, Dynamical systems, Stochastic processes
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Self-organization
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Nonlinear systems science
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Nonlinear dynamics
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Synchronization
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Stochastic processes
Research Areas
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Natural Science / Mathematical physics and fundamental theory of condensed matter physics
Education
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Kyoto University Graduate School of Science Division of Physics and Astronomy
1996.4 - 1999.3
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Kyoto University Graduate School of Science
1994.4 - 1996.3
Country： Japan
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Kyoto University Faculty of Science
1990.4 - 1994.3
Country： Japan
Research History
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Institute of Science Tokyo School of Engineering Professor
2024.10
Country：Japan
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Tokyo Institute of Technology School of Engineering Professor
2019.4 - 2024.9
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University of California, Santa Barbara, USA Visiting scholar
2017.6 - 2018.1
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Tokyo Institute of Technology School of Engineering Associate Professor
2016.4 - 2019.3
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Tokyo Institute of Technology Graduate School of Information Science and Engineering Associate Professor
2011.5 - 2016.3
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Fritz-Haber Institute of the Max-Planck Society, Germany Guest researcher
2007.10 - 2008.9
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Kyoto University Graduate School of Science Assistant Professor
2007.4 - 2011.4
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Kyoto University Graduate School of Science Instructor
2002.5 - 2007.3
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RIKEN Brain Science Institute Special postdoctoral researcher
2000.4 - 2002.4
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The University of Tokyo Graduate School of Mathematical Sciences JSPS postdoctoral researcher
1999.4 - 2000.3
Professional Memberships
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Society for Industrial and Applied Mathematics
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IEICE
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JPS
Papers
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Synchronization of nonlinearly coupled Stuart–Landau oscillators on networks
Wilfried Segnou, Riccardo Muolo, Marie Dorchain, Hiroya Nakao, Timoteo Carletti
Proceedings of the Royal Society A Mathematical Physical and Engineering Science 2026.3
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Synchronization of Dirac–Bianconi driven oscillators
Riccardo Muolo, Iván León, Yuzuru Kato, Hiroya Nakao
Journal of Physics A: Mathematical and Theoretical 2026.3
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Flutter Suppression Enhancement in Coupled Nonlinear Airfoils with Intermittent Mixed Interactions Reviewed
Qi Liu, Riccardo Muolo, Hiroya Nakao, Yong Xu
AIAA Journal 2026.3
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Optimal interaction functions realizing higher-order Kuramoto dynamics with arbitrary limit-cycle oscillators
Norihisa Namura, Riccardo Muolo, Hiroya Nakao
Chaos: An Interdisciplinary Journal of Nonlinear Science 2026.2
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Time delay embeddings to characterize the timbre of musical instruments using Topological Data Analysis: a study on synthetic and real data
Gakusei Sato, Hiroya Nakao, Riccardo Muolo
The European Physical Journal Special Topics 2026.1
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Distinguishing pairwise and higher-order interactions in coupled oscillators from time series
Weiwei Su, Shigefumi Hata, Hiroshi Kori, Hiroya Nakao, Ryota Kobayashi
Communications Physics 2025.12
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Phase autoencoder for rapid data-driven synchronization of rhythmic spatiotemporal patterns Reviewed
Koichiro Yawata, Ryo Sakuma, Kai Fukami, Kunihiko Taira, Hiroya Nakao
Physical Review E 2025.12
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Quantum spin van der Pol oscillator: Spin-based limit-cycle oscillator exhibiting quantum synchronization Reviewed
Yuzuru Kato, Hiroya Nakao
Physical Review Research 2025.11
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Theory of phase reduction from hypergraphs to simplicial complexes: A general route to higher-order Kuramoto models Reviewed
Iván León, Riccardo Muolo, Shigefumi Hata, Hiroya Nakao
Physica D: Nonlinear Phenomena 2025.11
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Multiple tipping phenomena in a system with a time-dependent parameter excited by coloured noise Reviewed
Xiaoyu Zhang, Qi Liu, Hiroya Nakao, Yong Xu
Chaos, Solitons & Fractals 2025.10
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Pinning control of chimera states in systems with higher-order interactions Reviewed
Riccardo Muolo, Lucia Valentina Gambuzza, Hiroya Nakao, Mattia Frasca
Nonlinear Dynamics 2025.7
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Spatial locking of chimera states to frequency heterogeneity in nonlocally coupled oscillators Reviewed
Petar Mircheski, Hiroya Nakao
Chaos: An Interdisciplinary Journal of Nonlinear Science 2025.6
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Optimal control for phase locking of synchronized oscillator populations via dynamical reduction techniques Reviewed International journal
Narumi Fujii, Hiroya Nakao
Chaos: An Interdisciplinary Journal of Nonlinear Science 2025.6
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A central pattern generator network for simple control of gait transitions in hexapod robots based on phase reduction Reviewed
Norihisa Namura, Hiroya Nakao
Nonlinear Dynamics 2025.5
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Complex synchronization transitions in globally coupled excitable systems with noise-induced coherent oscillations Reviewed
Jinjie Zhu, Yuzuru Kato, Hiroya Nakao
Communications Physics 2025.4
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Reconstructing Attractors of a Conceptual Airfoil System via Next Generation Reservoir Computing Reviewed
Qi Liu, Hiroya Nakao, Xiaolong Wang, Guangning Li, Xiaochuan Liu, Yong Xu
AIAA Journal 2025.4
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Gaussian Process Phase Interpolation for estimating the asymptotic phase of a limit cycle oscillator from time series data Reviewed
Taichi Yamamoto, Hiroya Nakao, Ryota Kobayashi
Chaos, Solitons & Fractals 191 115913 - 115913 2025.2
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Inferring noise intensity and phase response from noisy synchronous oscillators Reviewed
Hisa-Aki Tanaka, Somei Suga, Akira Keida, Hiroya Nakao, Yutaka Jitsumatsu, István Z. Kiss
Physical Review Research 2025.1
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Design of Artificial Limit-Cycle Oscillators with Global Synchronization Properties
Norihisa Namura, Hiroya Nakao
PROCEEDINGS OF THE IUTAM SYMPOSIUM ON NONLINEAR DYNAMICS FOR DESIGN OF MECHANICAL SYSTEMS ACROSS DIFFERENT LENGTH/TIME SCALES 43 255 - 262 2025
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Pattern Formation in Tape-Peeling Traces of Deformed Adhesives
Keisuke Taga, Hiroya Nakao, Yoshihiro Yamazaki
PROCEEDINGS OF THE IUTAM SYMPOSIUM ON NONLINEAR DYNAMICS FOR DESIGN OF MECHANICAL SYSTEMS ACROSS DIFFERENT LENGTH/TIME SCALES 43 305 - 311 2025
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Turing patterns on discrete topologies: from networks to higher-order structures Invited Reviewed
Riccardo Muolo, Lorenzo Giambagli, Hiroya Nakao, Duccio Fanelli, Timoteo Carletti
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2024.11
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Data-driven transient lift attenuation for extreme vortex gust–airfoil interactions Reviewed
Kai Fukami, Hiroya Nakao, Kunihiko Taira
Journal of Fluid Mechanics 992 2024.8
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Optimal coupling functions for fast and global synchronization of weakly coupled limit-cycle oscillators Reviewed
Norihisa Namura, Hiroya Nakao
Chaos, Solitons & Fractals 2024.8
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Emergence of pathological beta oscillation and its uncertainty quantification in a time-delayed feedback Parkinsonian model Reviewed
Yaqian Chen, Hiroya Nakao, Yanmei Kang
Chaos, Solitons & Fractals 2024.8
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Phase autoencoder for limit-cycle oscillators Reviewed
Koichiro Yawata, Kai Fukami, Kunihiko Taira, Hiroya Nakao
Chaos: An Interdisciplinary Journal of Nonlinear Science 2024.6
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Designing 2-D Limit-Cycle Oscillators With Prescribed Trajectories and Phase-Response Characteristics Reviewed
Norihisa Namura, Tsubasa Ishii, Hiroya Nakao
IEEE Transactions on Automatic Control 2024.5
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Higher-order interactions induce anomalous transitions to synchrony Reviewed
Iván León, Riccardo Muolo, Shigefumi Hata, Hiroya Nakao
Chaos: An Interdisciplinary Journal of Nonlinear Science 2024.1
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Dynamic mode decomposition for Koopman spectral analysis of elementary cellular automata Reviewed International journal
Keisuke Taga, Yuzuru Kato, Yoshihiro Yamazaki, Yoshinobu Kawahara, Hiroya Nakao
Chaos: An Interdisciplinary Journal of Nonlinear Science (accepted) 2024.1
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Optimal Phase Control of Limit-Cycle Oscillators with Strong Inputs through Phase-Amplitude Reduction
Norihisa Namura, Hiroya Nakao
2024 IEEE 63RD CONFERENCE ON DECISION AND CONTROL, CDC 4003 - 4009 2024
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Analytical phase reduction for weakly nonlinear oscillators Reviewed
Iván León, Hiroya Nakao
Chaos, Solitons & Fractals 2023.11
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Phase-amplitude reduction and optimal phase locking of collectively oscillating networks Reviewed
Petar Mircheski, Jinjie Zhu, Hiroya Nakao
Chaos: An Interdisciplinary Journal of Nonlinear Science 2023.10
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Quantum asymptotic phases reveal signatures of quantum synchronization Reviewed
Yuzuru Kato, Hiroya Nakao
New Journal of Physics 2023.2
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Design of Limit-Cycle Oscillators with Prescribed Trajectories and Phase-Response Properties via Phase Reduction and Floquet Theory
Norihisa Namura, Hiroya Nakao
2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC 3962 - 3968 2023
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Phase reduction of strongly coupled limit-cycle oscillators Reviewed
Wataru Kurebayashi, Takuto Yamamoto, Sho Shirasaka, Hiroya Nakao
Physical Review Research 2022.12
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Turing instability in quantum activator–inhibitor systems Reviewed
Yuzuru Kato, Hiroya Nakao
Scientific Reports 2022.9
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Noise-tuned bursting in a Hedgehog burster Reviewed
Jinjie Zhu, Hiroya Nakao
Frontiers in Computational Neuroscience 16 2022.7
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Estimating asymptotic phase and amplitude functions of limit-cycle oscillators from time series data Reviewed
Norihisa Namura, Shohei Takata, Katsunori Yamaguchi, Ryota Kobayashi, Hiroya Nakao
Physical Review E 106 ( 1 ) 2022.7
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A definition of the asymptotic phase for quantum nonlinear oscillators from the Koopman operator viewpoint Reviewed
Yuzuru Kato, Hiroya Nakao
Chaos: An Interdisciplinary Journal of Nonlinear Science 2022.6
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Phase dynamics of noise-induced coherent oscillations in excitable systems Reviewed
Jinjie Zhu, Yuzuru Kato, Hiroya Nakao
Physical Review Research 2022.5
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Koopman spectral analysis of elementary cellular automata
Keisuke Taga, Yuzuru Kato, Yoshinobu Kawahara, Yoshihiro Yamazaki, Hiroya Nakao
Chaos: An Interdisciplinary Journal of Nonlinear Science 2021.10
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Yuzuru Kato, Jinjie Zhu, Wataru Kurebayashi, Hiroya Nakao
Mathematics 9 ( 18 ) 2188 - 2188 2021.9
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Fast optimal entrainment of limit-cycle oscillators by strong periodic inputs via phase-amplitude reduction and Floquet theory Reviewed
Shohei Takata, Yuzuru Kato, Hiroya Nakao
Chaos: An Interdisciplinary Journal of Nonlinear Science 2021.9
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Optimization of periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators Reviewed
Yuzuru Kato, Anatoly Zlotnik, Jr-Shin Li, Hiroya Nakao
Nonlinear Dynamics 105 ( 3 ) 2247 - 2263 2021.8
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Stochastic periodic orbits in fast-slow systems with self-induced stochastic resonance Reviewed
Jinjie Zhu, Hiroya Nakao
Physical Review Research 3 ( 3 ) 2021.7
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Sparse optimization of mutual synchronization in collectively oscillating networks Reviewed
Hiroya Nakao, Katsunori Yamaguchi, Shingo Katayama, Tatsuo Yanagita
Chaos: An Interdisciplinary Journal of Nonlinear Science 31 ( 6 ) 2021.6
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Quantum coherence resonance Reviewed
Yuzuru Kato, Hiroya Nakao
New Journal of Physics 23 ( 4 ) 043018 - 043018 2021.4
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Phase-reduction for synchronization of oscillating flow by perturbation on surrounding structure Reviewed
Innocentio A. Loe, Hiroya Nakao, Yasuhiko Jimbo, Kiyoshi Kotani
Journal of Fluid Mechanics 911 2021.3
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Yuzuru Kato, Hiroya Nakao
Physical Review Research 3 ( 1 ) 2021.1
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Enhancement of quantum synchronization via continuous measurement and feedback control Reviewed
Yuzuru Kato, Hiroya Nakao
New Journal of Physics 23 ( 1 ) 013007 - 013007 2020.12
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Continuous Measurement and Feedback Control for Enhancement of Quantum Synchronization Reviewed
Yuzuru Kato, Hiroya Nakao
2020 59th IEEE Conference on Decision and Control (CDC) 2020 ( CDC ) 2020.12
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Spectral analysis of the Koopman operator for partial differential equations Reviewed
Hiroya Nakao, Igor Mezić
Chaos: An Interdisciplinary Journal of Nonlinear Science 30 ( 11 ) 2020.11
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Nonlinear phase-amplitude reduction of delay-induced oscillations Reviewed
Kiyoshi Kotani, Yutaro Ogawa, Sho Shirasaka, Akihiko Akao, Yasuhiko Jimbo, Hiroya Nakao
Physical Review Research 2 ( 3 ) 2020.7
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Turing patterns in a network-reduced FitzHugh-Nagumo model Reviewed
Timoteo Carletti, Hiroya Nakao
Physical Review E 101 ( 2 ) 2020.2
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Yuzuru Kato, Hiroya Nakao
Physical Review E 101 ( 1 ) 2020.1
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Phase-amplitude reduction of limit cycling systems Reviewed
Sho Shirasaka, Wataru Kurebayashi, Hiroya Nakao
Lecture Notes in Control and Information Sciences 484 383 - 417 2020
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On the concept of dynamical reduction: The case of coupled oscillators Invited Reviewed
Yoshiki Kuramoto, Hiroya Nakao
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377 ( 2160 ) 20190041 - 20190041 2019.12
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Optimal Waveform for Fast Entrainment of Weakly Forced Quantum Nonlinear Dissipative Oscillators Reviewed
Yuzuru Kato, Hiroya Nakao
Proceedings of the IEEE Conference on Decision and Control 2019-December ( CDC ) 1351 - 1356 2019.12
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Semiclassical phase reduction theory for quantum synchronization Reviewed
Yuzuru Kato, Naoki Yamamoto, Hiroya Nakao
Physical Review Research 1 ( 3 ) 2019.10
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Nobuhiro Watanabe, Yuzuru Kato, Sho Shirasaka, Hiroya Nakao
PHYSICAL REVIEW E 100 ( 4 ) 2019.10
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Ikuhiro Yamaguchi, Takuya Isomura, Hiroya Nakao, Yutaro Ogawa, Yasuhiko Jimbo, Kiyoshi Kotani
Journal of the Physical Society of Japan 88 ( 5 ) 054004 - 054004 2019.5
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Modeling cochlear two-tone suppression using a system of nonlinear oscillators with feed-forward coupling Reviewed
Masanori Ouchi, Hiroya Nakao
IEICE NONLINEAR THEORY AND ITS APPLICATIONS 10 ( 1 ) 90 - 99 2019
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Phase-response analysis of synchronization for periodic flows Reviewed
Kunihiko Taira, Hiroya Nakao
JOURNAL OF FLUID MECHANICS 846 2018.5
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Hiroya Nakao, Sho Yasui, Masashi Ota, Kensuke Arai, Yoji Kawamura
CHAOS 28 ( 4 ) 045103 - 045103 2018.4
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Sho Shirasaka, Nobuhiro Watanabe, Yoji Kawamura, Hiroya Nakao
Physical Review E 96 ( 1 ) 2017.7
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Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems Reviewed
Yoji Kawamura, Sho Shirasaka, Tatsuo Yanagita, Hiroya Nakao
Physical Review E 96 ( 1 ) 2017.7
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Localization of Laplacian eigenvectors on random networks Reviewed
Shigefumi Hata, Hiroya Nakao
Scientific Reports 7 ( 1 ) 2017.4
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Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems Reviewed
Sho Shirasaka, Wataru Kurebayashi, Hiroya Nakao
Chaos: An Interdisciplinary Journal of Nonlinear Science 27 ( 2 ) 023119 - 023119 2017.2
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Phase reduction theory for hybrid nonlinear oscillators Reviewed
Shirasaka Sho, Kurebayashi Wataru, Nakao Hiroya
Physical Review E 95 ( 95 ) 12212 - 12212 2017.1
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Erratum: Localization of Laplacian eigenvectors on random networks Reviewed
Hata, S., Nakao, H.
Scientific reports 7 ( 1 ) 10698 - 10698 2017
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Phase Reduction Theory for Strongly Coupled Limit-Cycle Oscillators Reviewed
Wataru Kurebayashi, Sho Shirasaka, Hiroya Nakao
IEICE Proceeding Series ( 29 ) 342 - 342 2017
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Optimal Model Selection for Estimating Stochastic Koopman Modes Reviewed
Wataru Kurebayashi, Sho Shirasaka, Hiroya Nakao
IEICE Proceeding Series ( 29 ) 12 - 12 2017
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Optimization of noise-induced synchronization of oscillator networks Reviewed
Kawamura Yoji, Nakao Hiroya
Physical Review E 94 ( 94 ) 3220 - 3220 2016.9
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Phase reduction approach to synchronisation of nonlinear oscillators Invited Reviewed
Hiroya Nakao
CONTEMPORARY PHYSICS 57 ( 2 ) 188 - 214 2016
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Phase description of oscillatory convection with a spatially translational mode Reviewed
Yoji Kawamura, Hiroya Nakao
Physica D: Nonlinear Phenomena 295-296 11 - 29 2015.3
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Wataru Kurebayashi, Sho Shirasaka, Hiroya Nakao
Nonlinear Theory and Its Applications, IEICE 6 ( 2 ) 171 - 180 2015
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Complex Ginzburg-Landau equation on networks and its non-uniform dynamics Reviewed
Hiroya Nakao
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS 223 ( 12 ) 2411 - 2421 2014.10
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Linear Analysis of the Corticothalamic Model with Time Delay Reviewed
Ikuhiro Yamaguchi, Yutaro Ogawa, Hiroya Nakao, Yasuhiko Jimbo, Kiyoshi Kotani
ELECTRONICS AND COMMUNICATIONS IN JAPAN 97 ( 8 ) 32 - 44 2014.8
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Phase-Reduction Approach to Synchronization of Spatiotemporal Rhythms in Reaction-Diffusion Systems Reviewed
Nakao Hiroya, Kawamura Yoji
Physical Review X 4 ( 2 ) 21032 - 21032 2014.5
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Enhancement of noise correlation for noise-induced synchronization of limit-cycle oscillators by threshold filtering Reviewed
M. Kazama, W. Kurebayashi, T. Tsuchida, Y. Minoshima, Mikio Hasegawa, K. Kimura, H. Nakao
NONLINEAR THEORY AND ITS APPLICATIONS 5 ( 2 ) 157 - 171 2014.4
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Advection of passive particles over flow networks Reviewed
Hata Shigefumi, Nakao Hiroya, Mikhailov Alexander S.
Physical Review E 89 ( 2 ) 20801 - 20801 2014.2
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Sufficient conditions for wave instability in three-component reaction-diffusion systems Reviewed
Hata Shigefumi, Nakao Hiroya, Mikhailov Alexander S.
Progress of Theoretical and Experimental Physics 2014 ( 1 ) 2014.1
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Noise-induced synchronization of oscillatory convection and its optimization Reviewed
Kawamura Yoji, Nakao Hiroya
Physical Review E 89 ( 1 ) 12912 - 12912 2014.1
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Synchronization Analysis of Nonlinear Oscillators by a Quadratic Phase Model Reviewed
Wataru Kurebayashi, Sho Shirasaka, Hiroya Nakao
IEICE Proceeding Series ( 46 ) 874 - 877 2014
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Design and control of noise-induced synchronization patterns Reviewed
Kurebayashi, W., Ishii, T., Hasegawa, M., Nakao, H.
EPL 107 ( 1 ) 2014
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Dispersal-induced destabilization of metapopulations and oscillatory Turing patterns in ecological networks Reviewed
Hata, S., Nakao, H., Mikhailov, A.S.
Scientific Reports 4 2014
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Collective phase description of oscillatory convection Reviewed
Kawamura Yoji, Nakao Hiroya
Chaos: An Interdisciplinary Journal of Nonlinear Science 23 ( 4 ) 43129 - 43129 2013.12
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Phase ordering in coupled noisy bistable systems on scale-free networks Reviewed
Hata Shigefumi, Nakao Hiroya
Physical Review E 88 ( 5 ) 52806 - 52806 2013.11
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Phase reduction method for strongly perturbed limit cycle oscillators Reviewed
Kurebayashi Wataru, Shirasaka Sho, Nakao Hiroya
Physical Review Letters 111 ( 21 ) 214101 - 214101 2013.11
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Preface (Oscillation, Chaos and Network Dynamics in Nonlinear Science)
Y. Kuramoto, S. Shinomoto, H. Nakao, T. Ohta
Progress of Theoretical Physics Supplement 161 i - i 2013.5
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Time Synchronization Scheme based on Noise-induced Synchronization using Environmental Sound Reviewed
Yuki Honda, Hiroyuki Yasuda, Mikio Hasegawa, Hiroya Nakao, Kazuyuki Aihara
Proceedings of 2013 International Workshop on Nonlinear Circuits, Communications and Signal Processing 125 - 128 2013.3
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An Analysis on Noise-Induced Synchronization by Natural Environmental Signals Reviewed
Hiroyuki Yasuda, Makoto Harashima, Mikio Hasegawa, Hiroya Nakao
Proceedings of 2013 International Workshop on Nonlinear Circuits, Communications and Signal Processing 640 - 643 2013.3
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A Theory on Noise-Induced Synchronization of Chaotic Oscillators Reviewed
Wataru Kurebayashi, Kantaro Fujiwara, Hiroya Nakao, Tohru Ikeguchi
Proceedings of International Symposium on Nonlinear Theory and its Applications1 1 ( 1 ) 344 - 347 2012.10
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Adjoint Method Provides Phase Response Functions for Delay-Induced Oscillations Reviewed
Kiyoshi Kotani, Ikuhiro Yamaguchi, Yutaro Ogawa, Yasuhiko Jimbo, Hiroya Nakao, G. Bard Ermentrout
Physical Review Letters 109 ( 4 ) 2012.7
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Yu Atsumi, Hiroya Nakao
Physical Review E 85 ( 5 ) 2012.5
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Linear analysis of the corticothalamic model with time delay Reviewed
Yamaguchi, I., Ogawa, Y., Nakao, H., Jimbo, Y., Kotani, K.
IEEJ Transactions on Electronics, Information and Systems 132 ( 11 ) 1787 - 1797 2012
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Corticothalamic model with time delay reduced to a real Ginzburg-Landau equation Reviewed
Yamaguchi, I., Ogawa, Y., Nakao, H., Jimbo, Y., Kotani, K.
IEEJ Transactions on Electronics, Information and Systems 132 ( 10 ) 1563 - 1574 2012
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Global feedback control of Turing patterns in network-organized activator-inhibitor systems Reviewed
Hata, S., Nakao, H., Mikhailov, A.S.
EPL 98 ( 6 ) 2012
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Phase description of stable limit-cycle solutions in reaction-diffusion systems Invited Reviewed
Hiroya Nakao, Tatsuo Yanagita, Yoji Kawamura
IUTAM SYMPOSIUM ON 50 YEARS OF CHAOS: APPLIED AND THEORETICAL 5 227 - 233 2012
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Reduction Theories Elucidate the Origins of Complex Biological Rhythms Generated by Interacting Delay-Induced Oscillations Reviewed
Ikuhiro Yamaguchi, Yutaro Ogawa, Yasuhiko Jimbo, Hiroya Nakao, Kiyoshi Kotani
PLOS ONE 6 ( 11 ) 2011.11
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Collective phase description of globally coupled excitable elements Reviewed
Kawamura Yoji, Nakao Hiroya, Kuramoto Yoshiki
Physical Review E 84 ( 4 ) 46211 - 46211 2011.10
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Hata Shigefumi, Arai Kensuke, Nakao Hiroya
Physical Review E 84 ( 1 ) 16229 - 16229 2011.7
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Optimal Phase Response Curves for Stochastic Synchronization and Desynchronization of Limit-cycle Oscillators Reviewed
Shigefumi Hata, Hiroya Nakao
IEICE Proceeding Series ( 45 ) 100 - 103 2011
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Kawamura, Y., Nakao, H., Arai, K., Kori, H., Kuramoto, Y.
Chaos 20 ( 4 ) 043109 - 043109 2010.12
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Kawamura Yoji, Nakao Hiroya, Arai Kensuke, Kori Hiroshi, Kuramoto Yoshiki
Chaos: An Interdisciplinary Journal of Nonlinear Science 20 ( 4 ) 43110 - 43110 2010.11
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Dynamics of Limit-Cycle Oscillators Subject to General Noise Reviewed
Denis S. Goldobin, Jun-nosuke Teramae, Hiroya Nakao, G. Bard Ermentrout
Physical Review Letters 105 ( 15 ) 2010.10
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Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise Reviewed
Hiroya Nakao, Jun-nosuke Teramae, Denis S. Goldobin, Yoshiki Kuramoto
Chaos: An Interdisciplinary Journal of Nonlinear Science 20 ( 3 ) 033126 - 033126 2010.9
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Hata Shigefumi, Arai Kensuke, Nakao Hiroya
Physical Review E 82 ( 3 ) 36206 - 36206 2010.9
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Turing patterns in network-organized activator-inhibitor systems Reviewed
Hiroya Nakao, Alexander S. Mikhailov
NATURE PHYSICS 6 ( 7 ) 544 - 550 2010.7
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Self-organizing timing allocation mechanism in distributed wireless sensor networks Reviewed
Hisa-Aki Tanaka, Hiroya Nakao, Kenta Shinohara
IEICE ELECTRONICS EXPRESS 6 ( 22 ) 1562 - 1568 2009.11
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Collective-phase description of coupled oscillators with general network structure Reviewed
Kori Hiroshi, Kawamura Yoji, Nakao Hiroya, Arai Kensuke, Kuramoto Yoshiki
Physical Review E 80 ( 3 ) 36207 - 36207 2009.9
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Stochastic Phase Reduction for a General Class of Noisy Limit Cycle Oscillators Reviewed
Jun-nosuke Teramae, Hiroya Nakao, G. Bard Ermentrout
Physical Review Letters 102 ( 19 ) 2009.5
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Diffusion-induced instability and chaos in random oscillator networks Reviewed
Hiroya Nakao, Alexander S. Mikhailov
PHYSICAL REVIEW E 79 ( 3 ) 36214 - 36214 2009.3
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Experimental synchronization of circuit oscillations induced by common telegraph noise Reviewed
Nagai Ken, Nakao Hiroya
Physical Review E 79 ( 3 ) 36205 - 36205 2009.3
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Kensuke Arai, Hiroya Nakao
PHYSICAL REVIEW E 78 ( 6 ) 66220 - 66220 2008.12
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Collective phase sensitivity Reviewed
Kawamura Yoji, Nakao Hiroya, Arai Kensuke, Kori Hiroshi, Kuramoto Yoshiki
Physical Review Letters 101 ( 2 ) 24101 - 24101 2008.7
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Arai Kensuke, Nakao Hiroya
Physical Review E 77 ( 3 ) 36218 - 36218 2008.3
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Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators
Nakao Hiroya, Arai Kensuke, Kawamura Yoji
Physical Review Letters 98 ( 18 ) 184101 - 184101 2007.5
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Noise-induced turbulence in nonlocally coupled oscillators Reviewed
Kawamura Yoji, Nakao Hiroya, Kuramoto Yoshiki
Physical Review E 75 ( 3 ) 36209 - 36209 2007.3
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The analysis of phase coherence of an ensemble of uncoupled limit-cycle oscillators via averaging of a jump-diffusion Kolmogorov equation Reviewed
Kensuke Arai, Hiroya Nakao
100-103 2007
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Universal finite-sample effect on the perturbation growth in chaotic dynamical systems Reviewed
Hiroya Nakao, Shuya Kitada, Alexander S. Mikhailov
PHYSICAL REVIEW E 74 ( 2 ) 2006.8
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Reproducibility of a noisy limit-cycle oscillator induced by a fluctuating input Reviewed
Nakao Hiroya, Nakao Hiroya, Arai Kensuke, Nagai Ken, Arai Kensuke
Progress of Theoretical Physics Supplement 161 ( 161 ) 294 - 297 2006.4
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Oscillation, chaos and network dynamics in nonlinear science - Preface
Kuramoto, Y., Shinomoto, S., Nakao, H., Ohta, T.
Progress of Theoretical Physics Supplement ( 161 ) 2006
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Reproducibility of limit-cycle oscillators induced by random impulses Reviewed
Kensuke Arai, Hiroya Nakao
295-298 2006
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Population coding by globally coupled phase oscillators Reviewed
Nakao, H.
Journal of the Physical Society of Japan 75 ( 3 ) 2006
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Synchrony of limit-cycle oscillators induced by random external impulses Reviewed
Nakao H, Nakao Hiroya, Nagai K, Arai Kensuke, Kuramoto Y, Nagai Ken, Tsubo Yasuhiro, Kuramoto Yoshiki
PHYSICAL REVIEW E 72 ( 2 ) 26220 - 26220 2005.8
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Synchrony of neural oscillators induced by random telegraphic currents Reviewed
Nagai Ken, Nakao Hiroya, Tsubo Yasuhiro
Physical Review E 71 ( 3 ) 36217 - 36217 2005.3
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Independent component analysis of spatiotemporal chaos Reviewed
Asano, H., Nakao, H.
Journal of the Physical Society of Japan 74 ( 6 ) 1661 - 1665 2005
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Statistics of rare strong bursts in autocatalytic stochastic growth with diffusion Reviewed
Nakao, H., Mikhailov, A.S.
Chaos 13 ( 3 ) 953 - 961 2003
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Visualization of correlation cascade in spatiotemporal chaos using wavelets Reviewed
Nakao, H., Mishiro, T., Yamada, M.
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 ( 5 ) 1483 - 1493 2001
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Multi-scaled turbulence in large populations of oscillators in a diffusive medium Reviewed
Yoshiki Kuramoto, Hiroya Nakao, Dorjsuren Battogtokh
Physica A: Statistical Mechanics and its Applications 288 ( 1-4 ) 244 - 264 2000.12
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Multi-scaling properties of truncated Levy flights Reviewed
Hiroya Nakao
Physics Letters, Section A: General, Atomic and Solid State Physics 266 ( 4-6 ) 282 - 289 2000.2
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Anomalous spatio-temporal chaos in a two-dimensional system of nonlocally coupled oscillators Reviewed
Nakao Hiroya
Chaos: An Interdisciplinary Journal of Nonlinear Science 9 ( 4 ) 902 - 909 1999.8
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Multi-affinity and multi-fractality in systems of chaotic elements with long-wave forcing Reviewed
Nakao, H., Kuramoto, Y.
European Physical Journal B 11 ( 2 ) 345 - 360 1999
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Multiaffine chemical turbulence Reviewed
Kuramoto Yoshiki, Nakao Hiroya
Physical Review Letters 81 ( 16 ) 3543 - 3543 1998.10
-
Asymptotic power law of moments in a random multiplicative process with weak additive noise Reviewed
Nakao Hiroya
Physical Review E 58 ( 2 ) 1591 - 1591 1998.1
-
Scaling properties in large assemblies of simple dynamical units driven by long-wave random forcing Reviewed
Kuramoto Yoshiki, Nakao Hiroya
Physical Review Letters 78 ( 21 ) 4039 - 4039 1997.1
-
Kuramoto, Y., Nakao, H.
Physica D: Nonlinear Phenomena 103 ( 1-4 ) 294 - 313 1997
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Origin of power-law spatial correlations in distributed oscillators and maps with nonlocal coupling Reviewed
Kuramoto Yoshiki, Nakao Hiroya
Physical Review Letters 76 ( 23 ) 4352 - 4352 1996.6
Books
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ネットワーク・カオス- 非線形ダイナミクス,複雑系と情報ネットワーク - (情報ネットワーク科学シリーズ 第 4巻)
中尾 裕也, 長谷川 幹雄, 合原 一幸, 電子情報通信学会（ Role： Joint author）
コロナ社 2017.12 （ ISBN:4339028045 ）
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ストロガッツ 非線形ダイナミクスとカオス
田中 久陽, 中尾 裕也, 千葉 逸人（ Role： Joint translator , Original_author： Steven H. Strogatz）
丸善出版 2015.1 （ ISBN:4621085808 ）
MISC
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Phase control of the high-dimensional Kuramoto model using dynamical reduction approaches and its application to jet-lag
藤井成美, 中尾裕也
自律分散システム・シンポジウム(CD-ROM) 37th 2025
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Phase Estimation Using a Delayed Coordinate System for Rhythm Phenomena with Hidden States
八幡晃一郎, 名村憲尚, 加藤譲, 中尾裕也
人工知能学会全国大会論文集(Web) 39th 2025
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Robot Simulation of Hexapod Gait Transitions by CPG Network based on Phase Reduction
名村憲尚, 中尾裕也
自律分散システム・シンポジウム(CD-ROM) 37th 2025
-
Signatures of Quantum Synchronization Revealed by Quantum Asymptotic Phase Functions
Kato Yuzuru, Nakao Hiroya
Butsuri 79 ( 8 ) 416 - 425 2024.8
-
Phase reduction of rhythmic phenomena using an autoencoder
八幡晃一郎, 中尾裕也
人工知能学会全国大会論文集(Web) 38th 2024
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Estimating Asymptotic Phase Function of Limit-cycle Oscillators using Gaussian Process Regression
山本泰智, 中尾裕也, 小林亮太
日本物理学会講演概要集(CD-ROM) 79 ( 2 ) 2024
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Mathematical modeling of polarization dynamics in social networks: II
秦重史, 小林亮太, 小林亮太, 中尾裕也
日本物理学会講演概要集(CD-ROM) 79 ( 2 ) 2024
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Design of a CPG Network for Controlling Gait Transitions of Hexapod Robots by Phase Reduction
名村憲尚, 中尾裕也
計測自動制御学会制御部門マルチシンポジウム(CD-ROM) 11th 2024
-
Turing instability of activator-inhibitor units in quantum dissipative systems
加藤譲, 中尾裕也
日本物理学会講演概要集(CD-ROM) 78 ( 1 ) 2023
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Reconstruction of asymptotic phase and amplitude functions of stochastic nonlinear oscillators using extended dynamic mode decomposition from time-series data
高田翔平, 加藤譲, 中尾裕也
日本物理学会講演概要集(CD-ROM) 78 ( 2 ) 2023
-
Mathematical modeling of polarization dynamics in social networks
秦重史, 小林亮太, 小林亮太, 中尾裕也
日本物理学会講演概要集(CD-ROM) 78 ( 2 ) 2023
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A response analysis of a system with time delay under non-Gaussian colored noise: Validity of Taylor expansion approximation for a time-delay term
福島英人, 山口郁博, 土田崇弘, 中尾裕也
電子情報通信学会技術研究報告(Web) 121 ( 335(NLP2021 69-125) ) 2022
-
Optimization of global phase distribution control for entrainment of weakly forced limit-cycle oscillators
加藤譲, 中尾裕也
日本物理学会講演概要集(CD-ROM) 77 ( 2 ) 2022
-
Phase-amplitude function for stochastic nonlinear oscillators on the basis of Koopman operator
加藤譲, 中尾裕也
日本物理学会講演概要集(CD-ROM) 77 ( 1 ) 2022
-
Stabilization of injection locking under strong input via phase-amplitude reduction
高田翔平, 加藤譲, 中尾裕也
電子情報通信学会技術研究報告(Web) 121 ( 335(NLP2021 69-125) ) 2022
-
Optimization for global phase distribution control of weakly forced limit-cycle oscillators
加藤譲, 中尾裕也
電子情報通信学会技術研究報告(Web) 121 ( 335(NLP2021 69-125) ) 2022
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Dimensionality reduction of dynamical systems via Koopman operator theory and applications to nonlinear rhythms
中尾裕也
電子情報通信学会技術研究報告(Web) 122 ( 143(NLP2022 26-38) ) 2022
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エレメンタリーセルオートマトンのKoopmanスペクトル解析
多賀圭理, 加藤譲, 河原吉伸, 河原吉伸, 山崎義弘, 中尾裕也
日本応用数理学会年会講演予稿集(CD-ROM) 2021 2022
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A simple method for estimating phase and amplitude functions of limit-cycle oscillators by polynomial regression from time series data
名村憲尚, 中尾裕也
電子情報通信学会技術研究報告(Web) 121 ( 335(NLP2021 69-125) ) 2022
-
大自由度力学系のKoopman作用素論に基づく次元縮約について
中尾 裕也
計算数理工学レビュー = JASCOME reviews : 日本計算数理工学会誌 / 日本計算数理工学会 編 2021 ( 2 ) 15 - 25 2021.9
-
Asymptotic phase for quantum synchronization in the strong quantum regime
加藤譲, 中尾裕也
日本物理学会講演概要集(CD-ROM) 76 ( 1 ) 2021
-
analysis of quantum synchronization using quantum continuous measurement
安達雄飛, 加藤譲, 中尾裕也
日本物理学会講演概要集(CD-ROM) 76 ( 2 ) 2021
-
Optimization of periodic input waveforms for global fast entrainment of oscillators
Kato Yuzuru, Nakao Hiroya
Proceedings of the Japan Joint Automatic Control Conference 64 576 - 579 2021
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A simple method for estimating phase functions of limit cycles by polynomial regression from time series data
名村憲尚, 中尾裕也
電子情報通信学会技術研究報告(Web) 121 ( 197(NLP2021 15-34) ) 2021
-
Analysis of quantum coherence resonance
加藤譲, 中尾裕也
日本物理学会講演概要集(CD-ROM) 76 ( 2 ) 2021
-
Coherence resonance in quantum dissipative systems
加藤譲, 中尾裕也
日本物理学会講演概要集(CD-ROM) 75 ( 1 ) 2529 - 2529 2020
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Stabilization of entrainment via amplitude feedback and optimization
高田翔平, 加藤譲, 中尾裕也
日本物理学会講演概要集(CD-ROM) 75 ( 1 ) 2020
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Sparse optimization of mutual synchronization between collectively oscillating networked dynamical systems
山口克徳, 中尾裕也
日本物理学会講演概要集(CD-ROM) 75 ( 1 ) 2020
-
Application of Optimization Theory for the Classical Nonlinear Oscillators to the Quantum Nonlinear oscillators
Kato Yuzuru, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 74 ( 1 ) 2739 - 2739 2019
-
半古典位相縮約理論による量子同期現象の解析
加藤譲, 中尾裕也
日本応用数理学会年会講演予稿集(CD-ROM) 2019 2019
-
Enhancement of phase coherence of an oscillator under quantum synchronization via an continuous measurement
Kato Yuzuru, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 74 ( 2 ) 2298 - 2298 2019
-
Phase description and synchronization of collective rhythms in networks of coupled dynamical systems
中尾裕也
電子情報通信学会技術研究報告 118 ( 168 ) 1 - 6 2018.8
-
Optimization of mutual synchronization of oscillatory convection
Kawamura Yoji, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 73 ( 0 ) 2657 - 2657 2018
-
Phase response analysis and optimization of mutual synchronization of a network of coupled dynamical systems exhibiting collective oscillations
Nakao H., Katayama Shingo
Meeting Abstracts of the Physical Society of Japan 73 ( 0 ) 2342 - 2342 2018
-
Optimization of coupling function for stable mutual synchronization of nonlinear oscillators
Watanabe Nobuhiro, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 73 ( 0 ) 2343 - 2343 2018
-
非線形振動系の時系列からの漸近位相の推定
山口克徳, 中尾裕也
日本物理学会講演概要集(CD-ROM) 73 ( 2 ) 2018
-
Semiclassical Phase Reduction Theory for Quantum Dissipative Nonlinear oscillators
Kato Y., Nakao H.
Meeting Abstracts of the Physical Society of Japan 73 ( 0 ) 2149 - 2149 2018
-
Mutual synchronization of oscillatory convection and its optimization
河村洋史, 中尾裕也
電子情報通信学会技術研究報告 117 ( 288 ) 29 - 34 2017.11
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共変リアプノフ解析を用いた雑音環境下における周期的身体運動のシナジー評価 (ランダム力学系理論とその応用)
白坂 将, 紅林 亘, 中尾 裕也
数理解析研究所講究録 ( 2028 ) 109 - 112 2017.5
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Optimization of coupling matrices for stable mutual synchronization of nonlinear oscillators
渡邊暢浩, 白坂将, 河村洋史, 中尾裕也
電子情報通信学会技術研究報告 116 ( 523 ) 75 - 77 2017.3
-
Macroscopic oscillations in mixed populations of active and inactive oscillators coupled through lattice Laplacian
Yamaguci Ikuhiro, Isomura Takuya, Nakao Hiroya, Ogawa Yutaro, Jimbo Yasuhiko, Kotani Kiyoshi
Meeting Abstracts of the Physical Society of Japan 72 ( 0 ) 3112 - 3112 2017
-
Jam-absorption driving for two-lane optimal velocity model
Katagiri Shiotaka, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 72 ( 0 ) 2443 - 2443 2017
-
Dynamic mode decomposition and model selection
Kurebayashi Wataru, Shirasaka Sho, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 72 ( 0 ) 2409 - 2409 2017
-
非線形振動子の安定な相互同期のための結合行列および一時的な結合切断の最適化
渡邊暢浩, 白坂将, 河村洋史, 中尾裕也
日本物理学会講演概要集(CD-ROM) 72 ( 2 ) 2017
-
Optimization of coupling matrices for stable mutual synchronization of limit-cycle oscillators
Watanabe Nobuhiro, Shirasaka Sho, Kawamura Yoji, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 72 ( 0 ) 2408 - 2408 2017
-
Analysis of auditory characteristics in the active cochlea model
Ouchi Masanori, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 72 ( 0 ) 2407 - 2407 2017
-
疎なネットワーク構造を持つDeep Learningを用いた映像分析システム
中尾尭理, 井ノ口裕也, ZHAO Xiongxin, 山足光義, 後藤央明, 佐藤啓紀, 松本渉
情報処理学会全国大会講演論文集 79th ( 2 ) 2017
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Synchronization analysis of strongly coupled oscillators by the generalized phase reduction method
KUREBAYASHI Wataru, SHIRASAKA Sho, NAKAO Hiroya
電子情報通信学会技術研究報告 116 ( 523(NLP2016 106-127) ) 2017
-
System identification of self-sustained oscillators based on the generalized phase model
佐藤孝之, 白坂将, 中尾裕也, 紅林亘
電子情報通信学会技術研究報告 116 ( 271 ) 103 - 106 2016.10
-
Localization of Laplacian eigenvectors on random networks
Hata Shigefumi, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 71 ( 0 ) 2975 - 2975 2016
-
Stability and Synchronization in Systems of Coupled Phase Oscillators
NAKAO Hiroya
Journal of The Society of Instrument and Control Engineers 55 ( 4 ) 335 - 342 2016
-
Analysis of two-tone suppression in the active cochlea model
Ouchi Masanori, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 71 ( 0 ) 2773 - 2773 2016
-
System reduction and identification of nonlinear dynamical systems based on the Koopman operator
Kurebayashi Wataru, SHirasaka Sho, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 71 ( 0 ) 2772 - 2772 2016
-
Optimal parameter selection for kernel dynamic mode decomposition
紅林亘, 白坂将, 中尾裕也
電子情報通信学会技術研究報告 116 ( 87(CCS2016 1-15) ) 2016
-
Lyapunov Analysis of coupled dynamical systems on symmetric networks
Ota Masashi, Shirasaka Sho, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 71 ( 0 ) 2666 - 2666 2016
-
Common-noise-induced synchronization of oscillator networks and its optimization
KAWAMURA Yoji, NAKAO Hiroya
電子情報通信学会技術研究報告 115 ( 300 ) 47 - 51 2015.11
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158 Stability analysis of a coupled nonlinear oscillator model which generates walking patterns with the covariant Lyapunov analysis
OTA Masashi, SHIRASAKA Sho, KUREBAYASHI Wataru, NAKAO Hiroya
Dynamics and Design Conference : D & D 2015 "158 - 1"-"158-12" 2015.8
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130 Extension of the dynamic mode decomposition by the kernel method
KUREBAYASHI Wataru, SHIRASAKA Sho, NAKAO Hiroya
Dynamics and Design Conference : D & D 2015 "130 - 1"-"130-10" 2015.8
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159 An analysis of the uncontrolled manifold in a dynamic walking model based on the Floquet theory
SHIRASAKA Sho, KUREBAYASHI Wataru, NAKAO Hiroya
Dynamics and Design Conference : D & D 2015 "159 - 1"-"159-8" 2015.8
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157 Data assimilation for a neural circuit model which generates walking pattern using the merging particle filter
WATANABE Eitaro, SHIRASAKA Sho, KUREBAYASHI Wataru, NAKAO Hiroya
Dynamics and Design Conference : D & D 2015 "157 - 1"-"157-12" 2015.8
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Data Assimilation for Coupled Dynamical Systems Using a Merging Particle Filter
渡邉英太郎, 白坂将, 中尾裕也
電子情報通信学会技術研究報告 115 ( 77 ) 55 - 60 2015.6
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19pCW-4 Lattice-Boltzmann analysis of synchronization of Karman vortex streets
Tomaru Y., Shirasaka S., Kurebayashi W., Nakao H.
Meeting Abstracts of the Physical Society of Japan 70 ( 0 ) 2863 - 2863 2015
-
歩行モデルにおけるUncontrolled manifoldのフロケ理論による解析
白坂将, 紅林亘, 中尾裕也
Dynamics & Design Conference (CD-ROM) 2015 2015
-
動的モード分解法のカーネル法による拡張
紅林亘, 白坂将, 中尾裕也
Dynamics & Design Conference (CD-ROM) 2015 2015
-
融合粒子フィルタによる歩行パターン生成に関する神経回路モデルのデータ同化
渡邉英太郎, 白坂将, 紅林亘, 中尾裕也
Dynamics & Design Conference (CD-ROM) 2015 2015
-
共変Lyapunov解析を用いた歩行パターン生成に関する結合非線形振動子モデルの安定性解析
大田真志, 白坂将, 紅林亘, 中尾裕也
Dynamics & Design Conference (CD-ROM) 2015 2015
-
22pBL-1 Theoretical analysis of injection locking phenomena by a quadratic phase equation
Kurebayashi Wataru, Shirasaka Sho, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 70 ( 0 ) 3023 - 3023 2015
-
22pBL-3 Lattice Boltzmann Analysis of Phase Response Properties in Karman Vortices
Tomaru Y., Shirasaka S., Kurebayashi W., Nakao H.
Meeting Abstracts of the Physical Society of Japan 70 ( 0 ) 3025 - 3025 2015
-
24pAH-3 Advection equation for network-organized systems
Hata S., Nakao H., Mikhailov Alexander S.
Meeting Abstracts of the Physical Society of Japan 70 ( 0 ) 3205 - 3205 2015
-
16pCX-3 Covariant Lyapunov analysis of a coupled oscillator model for walking pattern generation
Ota M., Shirasaka S., Kurebayashi W., Nakao H.
Meeting Abstracts of the Physical Society of Japan 70 ( 0 ) 2597 - 2597 2015
-
16pCX-4 Data assimilation for coupled dynamical systems using a merging particle filter
Watanabe E., Shirasaka S., Nakao H.
Meeting Abstracts of the Physical Society of Japan 70 ( 0 ) 2598 - 2598 2015
-
16pCW-4 Mixing of passive particles in flow networks
Hata S., Nakao H., Mikhailov A. S.
Meeting Abstracts of the Physical Society of Japan 70 ( 0 ) 2586 - 2586 2015
-
16pCX-2 Derivation of a stationary distribution of the amplitude in noise excited oscillators using covariant Lyapunov analysis and its application to an analysis of synergies in body movements
Shirasaka S., Kurebayashi W., Nakao H.
Meeting Abstracts of the Physical Society of Japan 70 ( 0 ) 2596 - 2596 2015
-
Robust synchronization analysis of oscillator circuits by a quadratic phase model
KUREBAYASHI Wataru, SHIRASAKA Sho, NAKAO Hiroya
IEICE technical report. Nonlinear problems 114 ( 348 ) 23 - 27 2014.12
-
353 Dynamic mode decomposition analysis of nonlinear vibrations in a large degree of freedom system
SHIRASAKA Sho, KUREBAYASHI Wataru, NAKAO Hiroya
Dynamics and Design Conference : D & D 2014 "353 - 1"-"353-5" 2014.8
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352 Systematic dimension reduction method for strongly coupled self-excited oscillators
KUREBAYASHI Wataru, SHIRASAKA Sho, NAKAO Hiroya
Dynamics and Design Conference : D & D 2014 "352 - 1"-"352-7" 2014.8
-
Quadratic Phase Model and Its Application to Synchronization Analysis of Oscillation Circuits
27 270 - 275 2014.8
-
A-2-9 DESIGN AND CONTROL METHODS OF NOISE-INDUCED SYNCHRONIZATION PATTERNS
Kurebayashi Wataru, Nakao Hiroya
Proceedings of the IEICE General Conference 2014 34 - 34 2014.3
-
Definition of phase for chaotic oscillators
KUREBAYASHI Wataru, NAKAO Hiroya
IEICE technical report. Nonlinear problems 113 ( 486 ) 1 - 2 2014.3
-
複雑ネットワーク上の反応拡散系におけるTuring不安定性とパターン形成
ナカオ ヒロヤ, ハタ シゲフミ
33 ( 1 ) 29 - 36 2014.2
-
Phase-reduction analysis of coupled limit-cycle oscillators in hybrid dynamical systems
SHIRASAKA Sho, KUREBAYASHI Wataru, NAKAO Hiroya
IEICE technical report. Nonlinear problems 113 ( 383 ) 167 - 171 2014.1
-
Control of Vehicles by Updating Optimal Velocity Function based on Local Information
MINOSHIMA Yuta, NAKAO Hiroya
IEICE technical report. Nonlinear problems 113 ( 383 ) 145 - 149 2014.1
-
Design of nonlinear oscillators with prescribed orbits and response properties
ISHII Tsubasa, KUREBAYASHI Wataru, NAKAO Hiroya
IEICE technical report. Nonlinear problems 113 ( 383 ) 163 - 166 2014.1
-
Theoretical analysis of mutual synchronization of strongly coupled nonlinear oscillators
KUREBAYASHI Wataru, SHIRASAKA Sho, NAKAO Hiroya
IEICE technical report. Nonlinear problems 113 ( 383 ) 137 - 140 2014.1
-
9pAY-2 Common-noise-induced synchronization of oscillator networks and its optimization
Kawamura Y., Nakao H.
Meeting Abstracts of the Physical Society of Japan 69 ( 0 ) 170 - 170 2014
-
Sequential Bayesian Estimation of Non-stationary Collective Dynamics in Swarm Models
NISHIKAWA Ken, KUREBAYASHI Wataru, NAKAO Hiroya
日本数理生物学会大会講演要旨集 24th 2014
-
Dynamic mode decompositionによる大自由度非線形振動解析
白坂将, 紅林亘, 中尾裕也
Dynamics & Design Conference (CD-ROM) 2014 2014
-
29pAR-9 On the Phase Reduction of Chaotic Oscillators
Kurebayashi Wataru, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 69 ( 1 ) 352 2014
-
29pAR-9 On the Phase Reduction of Chaotic Oscillators
Kurebayashi Wataru, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 69 ( 0 ) 352 - 352 2014
-
29pAR-13 Design of nonlinear oscillators with prescribed orbits and response properties
Ishii Tsubasa, Kurebayashi Wataru, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 69 ( 0 ) 353 - 353 2014
-
強く連成する自励振動系の系統的低次元化法
紅林亘, 紅林亘, 白坂将, 中尾裕也
Dynamics & Design Conference (CD-ROM) 2014 2014
-
J-1-9-135 Theoretical Analysis of Synchronization in Self-Excited Oscillators Induced by Strong Periodic Forcing
KUREBAYASHI Wataru, SHIRASAKA Sho, NAKAO Hiroya
Dynamics and Design Conference : D & D 2013 "135 - 1"-"135-10" 2013.8
-
J-1-9-138 Generation and Control of Autonomous Periodic Motion in a Mathematical Model of Multi-Joint Robots with Energy Dissipation
YASUI Sho, KUREBAYASHI Wataru, NAKAO Hiroya
Dynamics and Design Conference : D & D 2013 "138 - 1"-"138-10" 2013.8
-
J-1-9-139 Phase reduction analysis of synchronization dynamics in hybrid self-excited oscillators and its applications
SHIRASAKA Sho, KUREBAYASHI Wataru, NAKAO Hiroya
Dynamics and Design Conference : D & D 2013 "139 - 1"-"139-8" 2013.8
-
Phase reduction analysis of noise-induced synchronization in chaotic oscillators
KUREBAYASHI Wataru, FUJIWARA Kantaro, NAKAO Hiroya, IKEGUCHI Tohru
IEICE technical report. Nonlinear problems 113 ( 69 ) 87 - 90 2013.5
-
KUREBAYASHI Wataru, SHIRASAKA Sho, NAKAO Hiroya
IEICE technical report. Nonlinear problems 112 ( 487 ) 133 - 136 2013.3
-
Synchronization of nonlinear oscillators driven by common environmental noise
KAZAMA Masahiro, MINOSHIMA Yuta, KUREBAYASHI Wataru, NAKAO Hiroya
IEICE technical report. Nonlinear problems 112 ( 487 ) 87 - 90 2013.3
-
Phase reduction method for limit-cycle oscillators in hybrid dynamical systems and its applications
SHIRASAKA Sho, KUREBAYASHI Wataru, NAKAO Hiroya
IEICE technical report. Nonlinear problems 112 ( 487 ) 55 - 58 2013.3
-
27aXM-12 Phase description of oscillatory convection
Kawamura Y., Nakao H.
Meeting Abstracts of the Physical Society of Japan 68 ( 0 ) 345 - 345 2013
-
Phase-Reduction Analysis of Strongly Coupled Limit-Cycle Oscillators
Kurebayashi Wataru, Shirasaka Sho, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 68 ( 0 ) 232 - 232 2013
-
Phase Redaction Theory of Hybrid Dynamical Systems
Shirasaka Sho, Kurebayashi Wataru, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 68 ( 0 ) 233 - 233 2013
-
27pXM-4 Oscillatory Turing patterns in network-organized systems Fritz-Haber-Institute of the Max-Planck-Society
Hata S., Nakao H., Mikhailov Alexander S.
Meeting Abstracts of the Physical Society of Japan 68 ( 0 ) 359 - 359 2013
-
29aXR-2 Phase Reduction of Strongly Perturbed Limit-Cycle Systems
Kurebayashi Wataru, Shirasaka Sho, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 68 ( 0 ) 401 - 401 2013
-
Sufficient conditions for the oscillatory Turing instability in three-component reaction-diffusion systems
Hata S., Nakao H., Mikhailov Alexander S.
Meeting Abstracts of the Physical Society of Japan 68 ( 0 ) 234 - 234 2013
-
27aXM-11 Phase description of time-periodic patterns in reaction-diffusion systems
Nakao Hiroya, Yanagita Tatsuo, Kawamura Yoji
Meeting Abstracts of the Physical Society of Japan 68 ( 0 ) 345 - 345 2013
-
複雑ネットワーク上における振動性チューリングパターン
秦重史, 中尾裕也, MIKHAILOV Alexander S.
日本物理学会講演概要集 68 ( 1 ) 2013
-
動的な位相縮約法の提案
紅林亘, 白坂将, 中尾裕也
日本物理学会講演概要集 68 ( 1 ) 2013
-
振動対流の位相記述
河村洋史, 中尾裕也
日本物理学会講演概要集 68 ( 1 ) 2013
-
自励振動子の強い周期外力による同期現象に関する理論的な解析
紅林亘, 白坂将, 中尾裕也
Dynamics & Design Conference (CD-ROM) 2013 2013
-
ハイブリッド自励振動子の同期ダイナミクスの位相縮約法による解析及びその応用
白坂将, 紅林亘, 中尾裕也
Dynamics & Design Conference (CD-ROM) 2013 2013
-
反応拡散系の時間周期ダイナミクスの位相記述
中尾裕也
計測自動制御学会制御部門大会(CD-ROM) 13th 2013
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脳波の自由エネルギーに関する基礎的検討
山口郁博, 磯村拓哉, 小川雄太郎, 中尾裕也, 神保泰彦, 小谷潔
電気学会電子・情報・システム部門大会講演論文集(CD-ROM) 2013 2013
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エネルギー散逸を考慮した多関節ロボットの数理モデルにおける自励周期運動の生成とその制御
安井祥, 紅林亘, 中尾裕也
Dynamics & Design Conference (CD-ROM) 2013 2013
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振動対流の位相感受性
河村洋史, 中尾裕也
日本物理学会講演概要集 67 ( 1 ) 2012
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振動対流の共通ノイズ同期
河村洋史, 中尾裕也
日本物理学会講演概要集 67 ( 2 ) 2012
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27aBF-10 Phase sensitivity of oscillatory convection
Kawamura Y., Nakao H.
Meeting Abstracts of the Physical Society of Japan 67 ( 0 ) 370 - 370 2012
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21aAE-6 Common-noise-induced synchronization of oscillatory convection
Kawamura Y., Nakao H.
Meeting Abstracts of the Physical Society of Japan 67 ( 0 ) 308 - 308 2012
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20aAE-9 Variety of stable solutions in random networks of bistable elements
Atsumi Yu, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 67 ( 0 ) 283 - 283 2012
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21aAE-5 Global feedback control of network Turing patterns Fritz-Haber-Institute of the Max-Planck-Society
Hata S., Nakao H., Mikhailov Alexander S.
Meeting Abstracts of the Physical Society of Japan 67 ( 0 ) 308 - 308 2012
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Phase reduction approach to traveling pulses in reaction-diffusion systems
Nakao, Hiroya
96 ( 1 ) 59 - 62 2011.4
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NAKAO Hiroya
IEICE technical report 110 ( 388 ) 165 - 168 2011.1
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21pGS-2 Spontaneous synchronization and desynchronization of globally coupled oscillators under periodic external forcing
Atsumi Y., Nakao H.
Meeting Abstracts of the Physical Society of Japan 66 ( 0 ) 204 - 204 2011
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大域結合興奮性素子系の集団位相感受性
河村洋史, 中尾裕也, 蔵本由紀
日本物理学会講演概要集 66 ( 2 ) 2011
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時間遅れを持つ皮質-視床モデルの線形解析
山口郁博, 小川雄太郎, 中尾裕也, 神保泰彦, 小谷潔
電気学会電子・情報・システム部門大会講演論文集(CD-ROM) 2011 2011
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25pTF-7 Heterogeneity-induced spatiotemporal chaos in nonlocally coupled phase oscillators
Kawamura, Nakao, Kuramoto
Meeting Abstracts of the Physical Society of Japan 66 ( 0 ) 297 - 297 2011
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27pTC-10 Optimal phase response curves for common-noise-induced synchronization of limit-cycle oscillators
Hata S., Nakao H.
Meeting Abstracts of the Physical Society of Japan 66 ( 0 ) 327 - 327 2011
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非線形振動子の確率的な位相縮約とノイズ同期現象
中尾裕也
日本数理生物学会大会講演要旨集 21st 2011
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25pTF-3 Phase description of traveling pulses in reaction-diffusion systems
Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 66 ( 0 ) 296 - 296 2011
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21pGS-3 Optimal Phase Response Curves for Stochastic Synchronization and Desynchronization of Limit-cycle Oscillators
Hata Shigefumi, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 66 ( 0 ) 204 - 204 2011
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23pGU-3 Collective phase sensitivity of globally coupled excitable elements
Kawamura, Nakao, Kuramoto
Meeting Abstracts of the Physical Society of Japan 66 ( 0 ) 286 - 286 2011
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A.Pikovsky,M.Rosenblum and J.Kurths著, 徳田功訳, 同期理論の基礎と応用;数理科学,化学,生命科学から工学まで, 丸善, 東京, 2009, xiv+427p, 21×15cm, 本体8,800円, [専門向], ISBN978-4-621-08189-1 （新著紹介）
中尾 裕也
日本物理学会誌 65 ( 11 ) 900 2010.11
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ネットワーク結合複素Ginzburg-Landau方程式の拡散誘起不安定性と非一様ダイナミクス (マクロ経済動学の非線形数理)
中尾, 裕也
数理解析研究所講究録 1713 88 - 108 2010.9
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Stochastic phase description of fluctuating rhythmic elements
2010 ( 2 ) 5p 2010.8
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Stochastic phase description of fluctuating rhythmic elements
HATA Shigefumi, ARAI Kensuke, NAKAO Hiroya
IEICE technical report 110 ( 82 ) 135 - 139 2010.6
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複雑ネットワーク上の結合振動子系のダイナミクス (双曲型力学系から大自由度力学系へ)
中尾, 裕也
数理解析研究所講究録 1688 77 - 88 2010.5
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リズム素子の揺らぎの効果を取り入れた確率的な位相縮約
秦重史, 中尾裕也
日本物理学会講演概要集 65 ( 2 ) 2010
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大域結合振動子系における集団位相結合関数
河村洋史, 中尾裕也, 新井賢亮, 郡宏, 蔵本由紀
日本物理学会講演概要集 65 ( 1 ) 2010
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20aHS-9 Imaging chiral domains in CsCuCl_3 by circularly polarized x-ray microbeam
Ohsumi H., Tokuda A., Takeshita S., Arima T., Takata M., Suzuki M., Kawamura N., Takahashi I., Kousaka Y., Nakao Y., Yokobori T., Matsui H., Akimitsu J.
Meeting Abstracts of the Physical Society of Japan 65.1.4 968 2010
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23aEL-8 Stochastic Phase Reduction and Noise-induced Synchronization of Chaotic Oscillators
Hata S., Arai K., Nakao H.
Meeting Abstracts of the Physical Society of Japan 65 ( 0 ) 350 - 350 2010
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23pTF-11 Stochastic phase description of fluctuating rhythmic elements
Hata S., Nakao H.
Meeting Abstracts of the Physical Society of Japan 65 ( 0 ) 223 - 223 2010
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20aEH-10 Localization of Laplacian eigenvectors in complex networks
Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 65 ( 0 ) 268 - 268 2010
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20pEH-13 Collective phase coupling function in globally coupled oscillator systems
Kawamura Y., Nakao H., Arai K., Kori H., Kuramoto Y.
Meeting Abstracts of the Physical Society of Japan 65 ( 0 ) 279 - 279 2010
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Synchronization of nonlinear oscillators by common fluctuating signals
NAKAO Hiroya
日本生体医工学会大会プログラム・論文集(CD-ROM) 49th 2010
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Chaos and clustering in random oscillator networks
NAKAO Hiroya
IEICE technical report 109 ( 269 ) 193 - 196 2009.11
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HATA Shigefumi, NAKAO Hiroya
IEICE technical report 109 ( 269 ) 103 - 107 2009.11
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NAKAO Hiroya
SYSTEMS, CONTROL AND INFORMATION 53 ( 8 ) 316 - 322 2009
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27pQD-9 Diffusion-induced instability and chaos in random oscillator networks
Nakao H., Mikhailov A. S.
Meeting Abstracts of the Physical Society of Japan 64 ( 0 ) 211 - 211 2009
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25aQK-12 Turing patterns in network-organized activator-inhibitor systems
Nakao H., Mikhailov A. S.
Meeting Abstracts of the Physical Society of Japan 64 ( 0 ) 155 - 155 2009
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26aQD-10 Synchronization of Uncoupled Oscillators by Gamma Impulses : From Phase Locking to Noise-induced Synchronization
Hata S., Nakao H.
Meeting Abstracts of the Physical Society of Japan 64 ( 0 ) 180 - 180 2009
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大域結合振動子系の集団位相感受性
河村洋史, 中尾裕也, 新井賢亮, 郡宏, 蔵本由紀
日本物理学会講演概要集 64 ( 1 ) 2009
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29pTK-2 Collective Phase Sensitivity of Globally Coupled Oscillators
Kawamura Y., Nakao H., Arai K., Kori H., Kuramoto Y.
Meeting Abstracts of the Physical Society of Japan 64 ( 0 ) 312 - 312 2009
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27pPSA-23 Spin excitation of geometrically frustrated spinel Mg_<1-x>Cr_2O_4
Yokobori T., Tomiyasu K., Kousaka Y., Nakao Y., Horigane K., Hiraka H., Yamada K., Akimitsu J.
Meeting Abstracts of the Physical Society of Japan 64.2.3 386 2009
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Hierarchical Structure of Nonlocally Coupled Oscillator System
Kawamura Yoji, Nakao Hiroya, Kuramoto Yoshiki
NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 57 ( 0 ) 223 - 223 2008
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23aPS-58 Chiral Heli-magnetism in T_<1/3>NbS_2(T=Transition Metal)
Nakao Y., Kousaka Y., Kishine J., Akita M., Inoue K., Akimitsu J.
Meeting Abstracts of the Physical Society of Japan 63.1.3 438 2008
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AS-2-4 SYNCHRONY AND CLUSTERING OF NONLINEAR OSCILLATORS BY FLUCTUATING INPUTS
Nakao Hiroya, Arai Kensuke
Proceedings of the IEICE General Conference 2007 "S - 31"-"S-32" 2007.3
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Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators Reviewed
Nakao, Hiroya, Arai, Kensuke, Kawamura, Yoji
87 ( 4 ) 546 - 549 2007.1
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結合していないリミットサイクル振動子集団におけるノイズ誘起同期とクラスタリング(原標題は英語)
中尾裕也, 新井賢亮, 河村洋史
物性研究 87 ( 4 ) 2007
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23aXG-5 Noise-induced Spatiotemporal Chaos in Nonlocally Coupled Oscillators
Kawamura Y., Nakao H., Kuramoto Y.
Meeting Abstracts of the Physical Society of Japan 61 ( 0 ) 175 - 175 2006
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24aXG-8 Finite-sample effect on perturbation growth in chaotic dynamical systems
Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 61 ( 0 ) 198 - 198 2006
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23aXG-6 Noise-induced synchronization and clustering of uncoupled oscillators
Nakao Hiroya, Arai Kensuke, Kawamura Yoji
Meeting Abstracts of the Physical Society of Japan 61 ( 0 ) 175 - 175 2006
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Progress of Theoretical Physics 115 294 - 298 2006
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Synchrony of nonlinear oscillators induced by random external impulses
NAKAO HIROYA, ARAI KENSUKE
NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 55 ( 0 ) 184 - 184 2006
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Noise-induced Spatiotemporal Chaos in Nonlocally Coupled Oscillators
Kawamura Yoji, Nakao Hiroya, Kuramoto Yoshiki
NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 55 ( 0 ) 96 - 96 2006
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29pRD-12 Synchronization in Uncoupled Oscillators Receiving Common Poisson Impulses
Arai Kensuke, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 61 ( 0 ) 296 - 296 2006
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19aXL-5 Noise-induced Spatiotemporal Chaos in Nonlocally Coupled Phase Oscillators
Kawamura Y., Ishida R., Nakao H., Kuramoto Y.
Meeting Abstracts of the Physical Society of Japan 60 ( 0 ) 135 - 135 2005
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27aYB-9 Synchrony of nonlinear oscillators induced by random impulses
Nakao Hiroya, Arai Ken-suke
Meeting Abstracts of the Physical Society of Japan 60 ( 0 ) 312 - 312 2005
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A.Pikovsky and Y.Maistrenko,ed., 『Synchronization : Theory and Application』Kluwer Academic,Dordrecht, 2003, 258p., 24.5×16cm, \22,310(NATO Science Series II:Mathematics,Physics and Chemistry-Vol.109)
Butsuri 59 ( 7 ) 478 2004.7
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Mikhailov, Alexander S.
82 ( 2 ) 239 - 250 2004.5
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13pTC-1 Synchronization of Model Neurons Induced by Random Telegraph Currents
Nagai Ken, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 59 ( 0 ) 219 - 219 2004
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15aTD-12 Independent Component Analysis of Spatio-Temporal Chaos
Asano Hirokazu, Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 59 ( 0 ) 283 - 283 2004
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27aWB-10 Finite-size effects on perturbation vectors of spatio-temporal chaos
Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 59 ( 0 ) 261 - 261 2004
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Parameter Estimation of a Damped Quantum Harmonic Oscillator
Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 58 ( 0 ) 325 - 325 2003
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時空カオスにおける相関カスケードのウェーブレット解析(基研研究会「非平衡系の新局面-運動・機能・構造-」,研究会報告)
中尾, 裕也
物性研究 77 ( 2 ) 302 - 303 2001.11
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Population coding by globally coupled phase oscillators
Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 56 ( 0 ) 189 - 189 2001
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Multi-Scaling properties of correlated truncated Levy flights
Nakao Hiroya
Meeting abstracts of the Physical Society of Japan 55 ( 2 ) 197 - 197 2000.9
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Multi-scaling properties of truncated Levy flights
Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 55 ( 0 ) 247 - 247 2000
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Anomalous spatio-temporal chaos in non-locally coupled elements VI
NAKAO Hiroya
Meeting Abstracts of the Physical Society of Japan 53 ( 0 ) 733 - 733 1998
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非局所結合素子系の時空カオスと特異性 : マルチフラクタルな時空間欠性(第42回 物性若手夏の学校(1997年度))
中尾, 裕也
物性研究 69 ( 3 ) 576 - 576 1997.12
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29p-YW-4 Anomalous spatio-temporal chaos in non-locally coupled elements III
Nakao Hiroya, Kuramoto Yoshiki
Meeting Abstracts of the Physical Society of Japan 52 ( 0 ) 710 - 710 1997
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7a-YD-7 Anomalous spatio-temporal chaos in non-locally coupled elements IV
Nakao Hiroya
Meeting Abstracts of the Physical Society of Japan 52 ( 0 ) 769 - 769 1997
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Anomalous spatio-temporal chaos in non-locally coupled elements II
Nakao Hiroya, Kuramoto Yoshiki
Meeting Abstracts of the Physical Society of Japan 1996 ( 0 ) 587 - 587 1996
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3a-N-13 Anomalous spatio-temporal chaos in non-locally coupled elements
Nakao Hiroya, Kuramoto Yoshiki
Meeting Abstracts of the Physical Society of Japan 51 ( 0 ) 675 - 675 1996
Industrial property rights
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長谷川 幹雄, 安田 裕之, 本田 悠貴, 中尾 裕也, 堀尾 喜彦, 合原 一幸
Research Projects
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ハイパーグラフ上の結合力学系の集団同期ダイナミクスと次元縮約
Grant number：24KF0211 2024.11 - 2027.3
日本学術振興会 科学研究費助成事業 特別研究員奨励費
中尾 裕也
Grant amount：\2000000 （ Direct Cost: \2000000 ）
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Machine Learning for Prediction and Control of Complex Dynamics Based on Integration of Mathematical and Data-Driven Methods
Grant number：22H00516 2022.4 - 2027.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
Grant amount：\42250000 （ Direct Cost: \32500000 、 Indirect Cost：\9750000 ）
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大自由度非線形力学系に対するKoopman作用素論に基づく縮約理論の展開
Grant number：22K11919 2022.4 - 2025.3
日本学術振興会 科学研究費助成事業 基盤研究(C)
中尾 裕也
Grant amount：\4160000 （ Direct Cost: \3200000 、 Indirect Cost：\960000 ）
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高次元神経力学系および大規模ネットワークにおけるノイズ誘起発火現象の解析
Grant number：20F40017 2020.11 - 2023.3
日本学術振興会 科学研究費助成事業 特別研究員奨励費
中尾 裕也, ZHU JINJIE
Grant amount：\2200000 （ Direct Cost: \2200000 ）
(1) Hindmarsh-Roseニューロンモデルにおける逆確率共鳴（ISR）現象を解析した。単安定性と双安定性の両方に共通するISRの統一的なメカニズムを大偏差理論の枠組において時間スケールのマッチング条件を用いて明らかにした。ISRの生じる臨界ノイズ強度は、ノイズによる境界通過とリミットサイクルのタイムスケールを一致させることで得られる。さらに、ISRに異なる段階があることをバースト周波数分布によって明らかにし、バーストのピーク周波数が徐々に増加することも同じ枠組みで説明した。この結果は、神経細胞の発火など複数のタイムスケールを持つ系においてノイズの効果によって生じる複雑な現象に光を当てると考えられる。本研究の内容については国際学術誌のChaosに発表した。
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(2) 自己誘起型の確率共鳴を伴うfast-slow系において、確率的な周期軌道を正確に予言することに成功した。軌道の臨界遷移点を決定するために、平均初通過速度に関する新たなマッチング条件を提案した。また、その理論予測の正確さを、区分線形なFitzHugh-Nagumo系および通常のFitzHugh-Nagumo系について、確率的軌道の周期をモンテカルロシミュレーションの結果と比較することにより確認した。この結果は、fast-slow系におけるノイズに誘起されるコヒーレントな振る舞いのメカニズムを解明するものであり、より複雑なシステムや大規模なネットワークにおけるコヒーレントな振る舞いの解明につながると考えられる。本研究の内容については以下の論文を国際学術誌に投稿中である。
Jinjie Zhu, Hiroya Nakao. Stochastic Periodic Orbits in Fast-Slow Systems with Self-Induced Stochastic Resonance. arXiv:2104.04210 (2021) -
高次元神経力学系および大規模ネットワークにおけるノイズ誘起発火現象の解析
Grant number：20F02017 2020.7 - 2023.3
日本学術振興会 科学研究費助成事業 特別研究員奨励費
中尾 裕也, ZHU JINJIE
Grant amount：\2300000 （ Direct Cost: \2300000 ）
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高次元神経力学系および大規模ネットワークにおけるノイズ誘起発火現象の解析
Grant number：20F20017 2020.4 - 2022.3
日本学術振興会 科学研究費助成事業 特別研究員奨励費
中尾 裕也, ZHU JINJIE
Grant amount：\2300000 （ Direct Cost: \2300000 ）
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Machine learning for extracting latent dynamics from data
Grant number：18H03287 2018.4 - 2022.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B) Grant-in-Aid for Scientific Research (B)
Kawahara Yoshinobu
Grant amount：\16770000 （ Direct Cost: \12900000 、 Indirect Cost：\3870000 ）
With the development of measurement technology and information infrastructure, the extraction of scientific knowledge by data-driven approaches using observation / measurement data has been recognized as an important issue in various fields. In this study, we worked on the development of machine learning algorithms for extracting from data dynamic characteristics (dynamics) that complicated phenomena follow. In particular, we have developed methods for extracting information on complex systems and evaluating their validities by expanding the operator-theoretic analysis, including Koopman analysis, which is attracting attention in the field of physics recently, based on the framework of machine learning. We also developed machine learning algorithms to use extracted information for prediction. Finally, we conducted applied research in collaboration with researchers in multiple scientific fields to verify its usefulness.
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Emergence of functional dynamics in heterogeneously-connected dynamical elements
Grant number：18K03471 2018.4 - 2021.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C) Grant-in-Aid for Scientific Research (C)
Yanagita Tatsuo
Grant amount：\4290000 （ Direct Cost: \3300000 、 Indirect Cost：\990000 ）
Imhomodenous local dynamics is an important role in the function of biopolymer. We consider the Hamiltonian dynamics of the bead-spring molecule which is known as a simple coarse-grained model for polymer. The model molecule interacts with solvent particles. We have shown the following both theoretically and numerically: 1) The solvent particles are more energetic than that of the model molecule. 2) inhomogeneous energy state in the molecule lasts a long time, which we call quasi-equilibrium. 3) the stability of the form of the molecule changes by excitation of vibrational mode in the molecule, which we call dynamical stiffness. These mathematical mechanisms of non-equilibrium phenomena might be a key role in the function of biopolymer.
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大自由度力学系のデータ駆動型縮約モデリング手法の確立とバイタルサインへの適用
Grant number：17H03279 2017.4 - 2021.3
日本学術振興会 科学研究費助成事業 基盤研究(B) 基盤研究(B)
中尾 裕也, 小林 亮太, 秦 重史, 紅林 亘, 河村 洋史
Grant amount：\17680000 （ Direct Cost: \13600000 、 Indirect Cost：\4080000 ）
本計画では生体リズム等を念頭に大自由度非線形力学系の縮約理論を発展させ、また観測データから系を記述する少数個の主要変数を抽出して縮約数理モデルを同定するデータ駆動型縮約モデリング手法の確立を目指している。平成30年度は本計画の2年次であり、主に以下の内容について研究を実施した。(i)ネットワーク結合力学系の集団振動に対する縮約理論の発展。実世界には電力系統や神経回路網のように全系の同期した集団振動が重要な機能的役割を果たす例がある。その種の系の数理モデルとして高次元の常微分方程式系として表される複数の素子がネットワークを介して相互作用する系の集団振動を低次元の位相方程式に縮約するための理論を定式化した。この理論では各素子のダイナミクスやネットワーク結合は任意であり、個々の素子に与えられた摂動に対する集団振動の位相応答を一般的に定量化できる。これにより、例えばネットワークのどの素子に入力を与えれば系の集団振動を効率的に制御できるかを定量的に示すことができる。この理論を用いてふたつのネットワーク間の相互同期を詳細に解析した。(ii)Koopman作用素論に基づく解析に基づき、反応拡散系の非線形リズムに対する位相振幅方程式を導出した。これにより、従来の位相の応答に加え、過渡的な振幅の応答の解析が可能となり、例えば不安定なパターンのフィードバック制御に応用できることを示した。(iii)生体には様々なリズム現象があり、音信号の入力に対して振動的応答を示す蝸牛の聴覚細胞もその一例である。聴覚細胞系の結合振動子モデルを用いて、ふたつの周波数の異なるサイン波的な音信号が入力されたときの応答の二音抑圧の解析を行い、周波数の相対的な大小に応じて異なる抑圧特性が生じることを示し、その結果が実際の聴覚実験の結果と定性的に一致していることを示した。以上の内容については学会や学術誌にて公表した。
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Formulation of phase reduction theory for nonlinear oscillations in quantum dissipative systems
Grant number：16K13847 2016.4 - 2020.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Exploratory Research Grant-in-Aid for Challenging Exploratory Research
Nakao Hiroya
Grant amount：\3640000 （ Direct Cost: \2800000 、 Indirect Cost：\840000 ）
Phase reduction theory for nonlinear oscillations in quantum dissipative systems was developed. Recent advances in nanotechnology arose interest in nonlinear oscillations in microscale physical systems like optomechanical and laser systems, in which quantum effects play important roles, and their application to quantum information processing. For nonlinear oscillators in classical physical systems, phase reduction theory, which allows us to represent the system dynamics by a simple phase equation, had been developed and used to analyze their synchronization dynamics. However, this method had not been applicable to quantum nonlinear oscillators. In this study, we formulated a phase reduction theory for quantum nonlinear oscillators by focusing on the semi-classical regime where the quantum effect is not too strong. We then used the theory to analyze synchronization dynamics of the system.
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スパース性に基づく大自由度非線形システムのデータ駆動型縮約モデリング手法の構築
Grant number：16H01538 2016.4 - 2018.3
日本学術振興会 科学研究費助成事業 新学術領域研究(研究領域提案型) 新学術領域研究(研究領域提案型)
中尾 裕也
Grant amount：\4550000 （ Direct Cost: \3500000 、 Indirect Cost：\1050000 ）
大自由度で非線形性が強い複雑なシステムは、生命現象や地球科学現象を筆頭として実世界に数多く存在しており、近年ではそのような系から大量の測定・観測データが得られるようになっている。そのような現象を本質的に理解するためには、系を支配する主要な変数に着目することによって次元を縮約し、スパースな数理モデルに基づく考察を行う必要があると考えられる。本研究計画では、そのような非線形力学系に対する次元縮約理論の定式化を目的としていた。平成29年度は、この研究計画の2年目で最終年度であり、主に以下に述べるような項目について研究を実施した。(1)偏微分方程式で記述される散逸力学系のKoopman作用素論に基づく縮約法の定式化。昨年度の研究で得られた常微分方程式系に関する同様の結果を拡張して、平衡解に緩和する解を持つ偏微分方程式系やリミットサイクル解に収束する解を持つ偏微分方程式系についてもKoopman作用素の固有汎関数を導入することによって系を大域的に線形化でき、平衡解やリミットサイクル解の近傍で縮約した振幅方程式や位相振幅方程式を導出できることを示した。(2)集団振動するネットワーク結合力学系の集団位相縮約。集団振動解を持つネットワーク結合力学系に対する縮約位相方程式を一般的に導出してネットワーク間の集団位相同期現象を議論した。(3)縮約モデルに基づく同期現象の最適化。偏微分方程式系に対する位相縮約法を応用して複数の時空リズム間の同期現象の最適化を議論した。これらの内容の一部は既に学会や論文として公表済みであり、また一部については論文として公表準備中である。
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非平衡系におけるリズミックな時空間パターンのダイナミクスと制御
Grant number：26103510 2014.4 - 2016.3
日本学術振興会 科学研究費助成事業 新学術領域研究(研究領域提案型) 新学術領域研究(研究領域提案型)
中尾 裕也
Grant amount：\3380000 （ Direct Cost: \2600000 、 Indirect Cost：\780000 ）
昨年度までの研究で、従来の低次元力学系の非線形振動現象に対する位相縮約理論を、無限次元の力学系である反応拡散系のリズミックな時空間パターンや、Hele-Shawセル中の流体の振動的熱対流に対して拡張できることを示し、それらの系の同期現象などを議論した。今年度の研究では、それらの研究をさらに発展させ、より複雑な流れ場の非線形振動の解析を目的として、格子ボルツマン法によって記述される流れ場の非線形振動に対する位相縮約法を発展させた。特に、流体系の典型的な非線形振動現象として、流れ場中に置いた障害物によって生じる周期的なカルマン渦列を対象とし、その摂動に対する位相感受関数を求めて位相方程式を導出し、これを用いて周期的な外力による流れ場の同期現象を解析した。格子ボルツマン法のアルゴリズムが決定論的な力学系と見なせるという性質を利用して、周期的なカルマン渦列に対応するリミットサイクル振動状態にある格子ボルツマン系に対して、その位相感受関数を与える随伴方程式を導出し、これを数値的に解くことによって位相感受関数を求めた。ここで、位相感受関数は流れ場（正確には流れ場を構成する粒子の速度分布）に与えた微小摂動が系の非線形振動の長時間後の位相にどのような変化を及ぼすかを定量化するもので、位相縮約理論における本質的な量である。数値計算により系の流れ場に摂動を与えて直接測定した位相応答関数との比較も行い、随伴方程式から得た位相感受関数の妥当性を確認した。これにより、弱摂動を受ける周期的なカルマン渦列を1次元の位相方程式で記述できる、すなわち位相縮約できることが示された。この理論の応用例として、周期外力によるカルマン渦列の同期現象を解析し、理論的な結果と直接数値シミュレーションの結果がよく一致することを確認した。
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スパース性を利用した大自由度非線形システムのデータ解析とモデリング
Grant number：26120513 2014.4 - 2016.3
日本学術振興会 科学研究費助成事業 新学術領域研究(研究領域提案型) 新学術領域研究(研究領域提案型)
中尾 裕也
Grant amount：\4550000 （ Direct Cost: \3500000 、 Indirect Cost：\1050000 ）
近年の計測技術の進歩により、様々な大自由度システムから多量のデータが得られているが、データの背後にあるシステムは、非自明な非線形ダイナミクスを有することが多く、力学系の観点を取り入れた解析手法が望まれる。大自由度非線形システムの本質を理解するには、システムの枝葉を無視し、少数自由度の本質的部分に絞った解析が有効だと考えられる。特に、解析対象のシステムが比較的低次元のアトラクタを有するならば、少数のスパースなモードが、システムの振る舞いにおいて支配的な役割を持つものと考えられる。本研究では、非線形力学系の縮約理論の観点より、計測データからスパースな支配的モードを抽出して大自由度非線形システムをモデリングする新しい手法を提案することを目的としている。昨年度に引き続き、今年度は、大自由度システムの情報を縮約してスパースな表現を得るために、Koopmanモード分解を用いた手法に着目した。特に、時系列データから観測量の時間発展を表すKoopman作用素を推定する手法として、流体分野を中心に発展しているDynamic Mode Decomposition(DMD)について、カーネル法を用いた拡張を試みた。これにより、従来手法によるDMDに比べ、Koopman作用素の固有値および固有関数の推定精度が向上することを確認した。さらに、カーネル法を適用するにあたり、カーネルの幅を表すパラメータを適切に決めることが重要となるが、そのアルゴリズムを提案した。また、関連する研究として、振動的な流体現象を数値計算する格子Boltzmann法に対する低次元の位相方程式の導出法の提案や、対称性を有する結合振動子ネットワークにおける集団同期解の安定性の解析などを行った。得られた結果は論文誌、国際会議、研究会等にて公表した。
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Analysis and control of self-organization in coupled dynamical systems on complex networks
Grant number：25540108 2013.4 - 2017.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Exploratory Research Grant-in-Aid for Challenging Exploratory Research
Nakao Hiroya
Grant amount：\3900000 （ Direct Cost: \3000000 、 Indirect Cost：\900000 ）
In this research project, self-organization phenomena in systems of autonomous elements interacting over complex networks have been explored and analyzed, and methods to optimize and control such systems have been investigated. During the project period, Turing instability and pattern formation in reaction-diffusion systems on networks and their generalization to various mathematical models, response analysis of collective dynamics in coupled oscillators on networks and control of their synchronization by external noise, and localization properties of eigenvectors of the Laplacian matrix describing diffusion processes on networks, have been investigated. Results of the research have been published in international academic journals and reported in domestic and overseas conferences and workshops.
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Design of robust network dynamics against noises and its thermodynamical characterization
Grant number：24540417 2012.4 - 2015.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C) Grant-in-Aid for Scientific Research (C)
YANAGITA Tatsuo, NAKAO Hiroya, MIKHAILOV Alexander
Grant amount：\4940000 （ Direct Cost: \3800000 、 Indirect Cost：\1140000 ）
There are many functional systems with robust against noises in nature, e.g., chemical reactions in cells and neural networks. We have designed network dynamics having given function with robust against noises through the Markov chain Monte Carlo method. We have considered networks of phase oscillators and designed its connection networks to show better synchronization performance against noises. To do this, we have used the inverse of the sum of eigenvalues of the Laplacian matrix for network as a "synchronization performance" for the Markov chain method. Our designed networks showed a structural transition from core-periphery to interlaced network with increasing number of nodes. The method enabled us to characterize network thermodynamically. For smaller number of nodes, we found that the heat capacity had a peak called the Shottky anomaly in statistical mechanics, which comes from energy (corresponding to the synchronization performance) gap between highly optimization networks.
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Entrainment ability maximization in nonlinear oscillators by using calculus of variations, and its applications to practical design problems
Grant number：23360047 2011.4 - 2014.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B) Grant-in-Aid for Scientific Research (B)
TANAKA Hisaaki, TOKUDA Isao, CHIBA Hayato
Grant amount：\16900000 （ Direct Cost: \13000000 、 Indirect Cost：\3900000 ）
Since injection-locking improves frequency stability in the oscillator, its researches have been steadily progressed for various applications. However, as far as we know, any design methodology for optimizing such injection-locking ability has not yet been established. In this study, using a newly developed optimization theory by calculus of variations it becomes possible to maximize locking ranges of several practically important oscillators; CMOS ring oscillators and Class-E oscillators for power electronics, under realistic constraints.
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Nonlinear dynamics of self-propelled systems
Grant number：23540449 2011 - 2013
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C) Grant-in-Aid for Scientific Research (C)
OHTA Takao, NAKAO Hiroya
Grant amount：\5070000 （ Direct Cost: \3900000 、 Indirect Cost：\1170000 ）
We have studied theoretically traveling waves and self-propelled soft particles in nonlinear dissipative systems. As a former problem, we investigated the dynamics of Turing patterns under feedback control and derived non-equilibrium phase diagram. In the dynamics of individual self-propelled particles, we have considered not only translational motion but also spinning motion and clarified the properties both in two and three dimensions. It has been revealed that fascinating dynamics emerge due to the couplings among translation, deformation, spinning and external forces. In the dynamics of interacting self-propelled particles, we have shown that traveling bands appear in our system and those bands exhibit soliton-like behavior upon head-on collisions.
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Coherence in nonlinear dynamical systems subjected to common fluctuating forcing
Grant number：22684020 2010.4 - 2014.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (A) Grant-in-Aid for Young Scientists (A)
NAKAO HIROYA
Grant amount：\13780000 （ Direct Cost: \10600000 、 Indirect Cost：\3180000 ）
There are various examples of elements that exhibit self-sustained dynamics in the real world. In particular, nonlinear oscillators that generate self-sustained rhythms are ubiquitous in various fields including physics, chemistry, biology, and engineering. It is well known that periodic external forcing can entrain the driven oscillators and interacting coupled oscillators can exhibit mutual synchronization. Recent studies have also revealed that the oscillators exhibit synchronization, or more generally coherence, when driven by common or correlated stochastic forcing. In this research project, we theoretically analyzed the mechanism leading to such nontrivial phenomena. Specifically, on the basis of the phase-reduction theory for nonlinear oscillators, we showed that such noise-induced synchronization phenomenon generally occurs in weakly driven oscillators and clarified its conditions.
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Design of functional network dynamics and universality
Grant number：21540376 2009 - 2011
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C) Grant-in-Aid for Scientific Research (C)
YANAGITA Tatsuo, NAKAO Hiroya
Grant amount：\4290000 （ Direct Cost: \3300000 、 Indirect Cost：\990000 ）
We design the network of oscillators to improve synchronization properties through appropriate rewiring of its connections. We consider what are the optimal network architectures for a given total number of connections. Starting with an initial random network of oscillators, its autonomous synchronization ability can be largely improved by appropriately rewiring the links between the elements using the Markov chain Monte Carlo method. The architectures of such optimal networks strongly depend on the constraints, such as the total number of links available. Through the appropriate rewiring of a network, a strong gain in the synchronization signal can be achieved. It is also shown that the architectures leading to the improved synchronization of identical oscillators in the presence of noise are essentially different from the optimal synchronization architectures for heterogeneous oscillator populations without noise. Large ensembles of optimized networks are obtained and their statistical properties have been investigated. These results are published in Phys. Rev. E.
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Synchronization and control of nonlinear dynamical systems by noisy forcing
Grant number：19760253 2007 - 2009
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B) Grant-in-Aid for Young Scientists (B)
NAKAO Hiroya
Grant type：Competitive
Grant amount：\3570000 （ Direct Cost: \3000000 、 Indirect Cost：\570000 ）
It is known that nonlinear dynamical systems exhibiting autonomous nonlinear oscillations tend to improve their output reproducibility or synchronize with each other when driven by common temporally fluctuating inputs instead of constant inputs. To understand this phenomenon, detailed theoretical analysis was performed using the methods of nonlinear dynamics and stochastic processes, in particular, the phase reduction theory for limit-cycle oscillators. Theoretical results were quantitatively verified using experimental electronic circuits exhibiting nonlinear oscillations.
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Synchronization and control of nonlinear dynamical systems by fluctuating external forcing
2007 - 2009
Grant-in-Aid for Scientific Research
Grant type：Competitive
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物理系における動的な情報表現に関する数理統計学的研究
Grant number：15740236 2003 - 2005
日本学術振興会 科学研究費助成事業 若手研究(B) 若手研究(B)
中尾 裕也
Grant amount：\3500000 （ Direct Cost: \3500000 ）
本研究では物理系を外部入力の情報を表現する媒体と捉え、特にその動的な側面に注目して理論的に解析することを目的としている。この目的のもとに、今年度は主として3つの研究テーマに関して理論および数値解析を行った。
まず、昨年度に引き続き、既に研究を進めつつある位相振動子系による情報表現過程を詳しく解析した。この系は脳の神経回路網が外部刺激に応じた入力を受け、その情報を神経細胞のスパイクの発火タイミングによって表現している状況のごく簡単なモデルであり、従来のニューロンの確率発火モデルをより現実的に拡張したものである。系の情報表現効率の定量化には、数理統計学においてパラメータの推定精度に理論的限界を与える量として重要なFisher情報量を用い、特に系の非定常状態に重点を置いた。その結果、特に系の示す動的過程において、系の情報表現効率が大幅に向上することを見いだした。この結果を論文として公表した。
また、やはり昨年度より研究を進めている、変動電流入力によるニューロンのスパイク生成タイミングの向上現象に関する理論解析を発展させた。既にニューロンが変動電信信号入力を受けた状況においては、この現象のメカニズムを理論的に解明していたが、この結果をランダムインパルス入力および区分定数変動信号入力を受ける場合に一般化し、また数学的な定式化の面でも洗練させた。その結果をふたつの論文および学会研究会等で公表した。
さらに、非平衡散逸系の示す複雑な挙動から客観的にそのダイナミクスを抽出するという手法のひとつとして、結合振動子系の示す時空カオス状態に対して、信号処理やニューラルネットの分野で開発された独立成分分析法を適用した。その結果、系の特徴を良く反映した基底関数が得られ、また抽出された信号成分が系のダイナミクスを適切に記述していることが示された。この結果も論文および学会にて公表した。 -
非局所結合素子系の時空カオスとその特異性
Grant number：98J09417 1998 - 1999
日本学術振興会 科学研究費助成事業 特別研究員奨励費 特別研究員奨励費
中尾 裕也
Grant amount：\1800000 （ Direct Cost: \1800000 ）