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Journal Articles

Phase autoencoder for limit-cycle oscillators

Koichiro Yawata, Kai Fukami, Kunihiko Taira, Hiroya Nakao

Chaos 34, 063111 (2024)

https://doi.org/10.1063/5.0205718

Published: June 2024

View article titled, Phase autoencoder for limit-cycle oscillators

Journal Articles

Dynamic mode decomposition for Koopman spectral analysis of elementary cellular automata

Keisuke Taga, Yuzuru Kato, Yoshihiro Yamazaki, Yoshinobu Kawahara, Hiroya Nakao

Chaos 34, 013125 (2024)

https://doi.org/10.1063/5.0159069

Published: January 2024

View article titled, Dynamic mode decomposition for Koopman spectral analysis of elementary cellular automata

Journal Articles

Higher-order interactions induce anomalous transitions to synchrony

Iván León, Riccardo Muolo, Shigefumi Hata, Hiroya Nakao

Chaos 34, 013105 (2024)

https://doi.org/10.1063/5.0176748

Published: January 2024

View article titled, Higher-order interactions induce anomalous transitions to synchrony

Journal Articles

Phase-amplitude reduction and optimal phase locking of collectively oscillating networks

Petar Mircheski, Jinjie Zhu, Hiroya Nakao

Chaos 33, 103111 (2023)

https://doi.org/10.1063/5.0161119

Published: October 2023

View article titled, Phase-amplitude reduction and optimal phase locking of collectively oscillating networks

Journal Articles

A definition of the asymptotic phase for quantum nonlinear oscillators from the Koopman operator viewpoint

Yuzuru Kato, Hiroya Nakao

Chaos 32, 063133 (2022)

https://doi.org/10.1063/5.0088559

Published: June 2022

View article titled, A definition of the asymptotic phase for quantum nonlinear oscillators from the Koopman operator viewpoint

Journal Articles

Koopman spectral analysis of elementary cellular automata

Keisuke Taga, Yuzuru Kato, Yoshinobu Kawahara, Yoshihiro Yamazaki, Hiroya Nakao

Chaos 31, 103121 (2021)

https://doi.org/10.1063/5.0059202

Published: October 2021

View article titled, Koopman spectral analysis of elementary cellular automata

Journal Articles

Fast optimal entrainment of limit-cycle oscillators by strong periodic inputs via phase-amplitude reduction and Floquet theory

Shohei Takata, Yuzuru Kato, Hiroya Nakao

Chaos 31, 093124 (2021)

https://doi.org/10.1063/5.0054603

Published: September 2021

View article titled, Fast optimal entrainment of limit-cycle oscillators by strong periodic inputs via phase-amplitude reduction and Floquet theory

Journal Articles

Sparse optimization of mutual synchronization in collectively oscillating networks

Hiroya Nakao, Katsunori Yamaguchi, Shingo Katayama, Tatsuo Yanagita

Chaos 31, 063113 (2021)

https://doi.org/10.1063/5.0049091

Published: June 2021

View article titled, Sparse optimization of mutual synchronization in collectively oscillating networks

Journal Articles

Spectral analysis of the Koopman operator for partial differential equations

Hiroya Nakao, Igor Mezić

Chaos 30, 113131 (2020)

https://doi.org/10.1063/5.0011470

Published: November 2020

View article titled, Spectral analysis of the Koopman operator for partial differential equations

Journal Articles

Phase reduction and synchronization of a network of coupled dynamical elements exhibiting collective oscillations

Hiroya Nakao, Sho Yasui, Masashi Ota, Kensuke Arai, Yoji Kawamura

Chaos 28, 045103 (2018)

https://doi.org/10.1063/1.5009669

Published: April 2018

View article titled, Phase reduction and synchronization of a network of coupled dynamical elements exhibiting collective oscillations

Journal Articles

Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems

Sho Shirasaka, Wataru Kurebayashi, Hiroya Nakao

Chaos 27, 023119 (2017)

https://doi.org/10.1063/1.4977195

Published: February 2017

View article titled, Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems

Journal Articles

Collective phase description of oscillatory convection

Yoji Kawamura, Hiroya Nakao

Chaos 23, 043129 (2013)

https://doi.org/10.1063/1.4837775

Published: December 2013

View article titled, Collective phase description of oscillatory convection

Journal Articles

Phase synchronization between collective rhythms of globally coupled oscillator groups: Noisy identical case

Yoji Kawamura, Hiroya Nakao, Kensuke Arai, Hiroshi Kori, Yoshiki Kuramoto

Chaos 20, 043109 (2010)

https://doi.org/10.1063/1.3491344

Published: November 2010

View article titled, Phase synchronization between collective rhythms of globally coupled oscillator groups: Noisy identical case

Journal Articles

Phase synchronization between collective rhythms of globally coupled oscillator groups: Noiseless nonidentical case

Yoji Kawamura, Hiroya Nakao, Kensuke Arai, Hiroshi Kori, Yoshiki Kuramoto

Chaos 20, 043110 (2010)

https://doi.org/10.1063/1.3491346

Published: November 2010

View article titled, Phase synchronization between collective rhythms of globally coupled oscillator groups: Noiseless nonidentical case

Journal Articles

Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise

Hiroya Nakao, Jun-nosuke Teramae, Denis S. Goldobin, Yoshiki Kuramoto

Chaos 20, 033126 (2010)

https://doi.org/10.1063/1.3488977

Published: September 2010

View article titled, Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise

Journal Articles

Statistics of rare strong bursts in autocatalytic stochastic growth with diffusion

Hiroya Nakao, Alexander S. Mikhailov

Chaos 13, 953–961 (2003)

https://doi.org/10.1063/1.1596576

Published: September 2003

View article titled, Statistics of rare strong bursts in autocatalytic stochastic growth with diffusion

Journal Articles

Anomalous spatio-temporal chaos in a two-dimensional system of nonlocally coupled oscillators

Hiroya Nakao

Chaos 9, 902–909 (1999)

https://doi.org/10.1063/1.166463

Published: December 1999

View article titled, Anomalous spatio-temporal chaos in a two-dimensional system of nonlocally coupled oscillators

NARROW

Topics

Phase autoencoder for limit-cycle oscillators

Dynamic mode decomposition for Koopman spectral analysis of elementary cellular automata

Higher-order interactions induce anomalous transitions to synchrony

Phase-amplitude reduction and optimal phase locking of collectively oscillating networks

A definition of the asymptotic phase for quantum nonlinear oscillators from the Koopman operator viewpoint

Koopman spectral analysis of elementary cellular automata

Fast optimal entrainment of limit-cycle oscillators by strong periodic inputs via phase-amplitude reduction and Floquet theory

Sparse optimization of mutual synchronization in collectively oscillating networks

Spectral analysis of the Koopman operator for partial differential equations

Phase reduction and synchronization of a network of coupled dynamical elements exhibiting collective oscillations

Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems

Collective phase description of oscillatory convection

Phase synchronization between collective rhythms of globally coupled oscillator groups: Noisy identical case

Phase synchronization between collective rhythms of globally coupled oscillator groups: Noiseless nonidentical case

Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise

Statistics of rare strong bursts in autocatalytic stochastic growth with diffusion

Anomalous spatio-temporal chaos in a two-dimensional system of nonlocally coupled oscillators

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