Hiroya Nakao

    My co-authors include

    Professor Hisa-Aki Tanaka

    My Publications

    Spectral analysis of the Koopman operator for partial differential equations

    • Chaos An Interdisciplinary Journal of Nonlinear Science
    • November 2020

    Phase-response analysis of synchronization for periodic flows

    • Journal of Fluid Mechanics
    • May 2018

    Phase reduction and synchronization of a network of coupled dynamical element...

    • Chaos An Interdisciplinary Journal of Nonlinear Science
    • April 2018

    Erratum: Localization of Laplacian eigenvectors on random networks

    • Scientific Reports
    • September 2017

    Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffu...

    • July 2017

    Optimizing stability of mutual synchronization between a pair of limit-cycle oscillator...

    • July 2017

    Localization of Laplacian eigenvectors on random networks

    • Scientific Reports
    • April 2017

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

    • Chaos An Interdisciplinary Journal of Nonlinear Science
    • February 2017

    Phase reduction theory for hybrid nonlinear oscillators

    • January 2017

    Optimization of noise-induced synchronization of oscillator networks

    • September 2016

    Phase reduction approach to synchronisation of nonlinear oscillators

    • Contemporary Physics
    • October 2015

    Phase description of oscillatory convection with a spatially translational mode

    • Physica D Nonlinear Phenomena
    • March 2015

    A criterion for timescale decomposition of external inputs for generalized phase reduct...

    • Nonlinear Theory and Its Applications IEICE
    • January 2015

    Complex Ginzburg-Landau equation on networks and its non-uniform dynamics

    • The European Physical Journal Special Topics
    • July 2014

    Linear Analysis of the Corticothalamic Model with Time Delay

    • Electronics and Communications in Japan
    • July 2014

    Phase-Reduction Approach to Synchronization of Spatiotemporal Rhythms in Reaction-Diffu...

    • Physical Review X
    • May 2014

    Advection of passive particles over flow networks

    • Physical Review E
    • February 2014

    Noise-induced synchronization of oscillatory convection and its optimization

    • Physical Review E
    • January 2014

    Dispersal-induced destabilization of metapopulations and oscillatory Turing patterns in...

    • Scientific Reports
    • January 2014

    A Theory on Noise-Induced Synchronization of Chaotic Oscillators

    • IEICE Proceeding Series
    • January 2014

    Ginzburg-Landau Equations Reduced from Coupled Delay Differential Equations

    • IEICE Proceeding Series
    • January 2014

    Enhancement of noise correlation for noise-induced synchronization of limit-cycle oscil...

    • Nonlinear Theory and Its Applications IEICE
    • January 2014

    Collective phase description of oscillatory convection

    • Chaos An Interdisciplinary Journal of Nonlinear Science
    • December 2013

    Phase Reduction Method for Strongly Perturbed Limit Cycle Oscillators

    • Physical Review Letters
    • November 2013

    Phase ordering in coupled noisy bistable systems on scale-free networks

    • Physical Review E
    • November 2013

    Adjoint Method Provides Phase Response Functions for Delay-Induced Oscillations

    • Physical Review Letters
    • July 2012

    Persistent fluctuations in synchronization rate in globally coupled oscillators with pe...

    • Physical Review E
    • May 2012

    Phase Description of Stable Limit-cycle Solutions in Reaction-diffusion Systems

    • Procedia IUTAM
    • January 2012

    Linear Analysis of the Corticothalamic Model with Time Delay

    • IEEJ Transactions on Electronics Information and Systems
    • January 2012

    時間遅れを持つ皮質-視床モデルの実Ginzburg-Landau方程式への縮約

    • IEEJ Transactions on Electronics Information and Systems
    • January 2012

    Reduction Theories Elucidate the Origins of Complex Biological Rhythms Generated by Int...

    • PLoS ONE
    • November 2011

    Collective phase description of globally coupled excitable elements

    • Physical Review E
    • October 2011

    Optimal phase response curves for stochastic synchronization of limit-cycle oscillators...

    • Physical Review E
    • July 2011

    Phase synchronization between collective rhythms of globally coupled oscillator groups:...

    • Chaos An Interdisciplinary Journal of Nonlinear Science
    • December 2010

    Phase synchronization between collective rhythms of globally coupled oscillator groups:...

    • Chaos An Interdisciplinary Journal of Nonlinear Science
    • December 2010

    Dynamics of Limit-Cycle Oscillators Subject to General Noise

    • Physical Review Letters
    • October 2010

    Synchronization of uncoupled oscillators by common gamma impulses: From phase locking t...

    • Physical Review E
    • September 2010

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

    • Chaos An Interdisciplinary Journal of Nonlinear Science
    • September 2010

    Turing patterns in network-organized activator–inhibitor systems

    • Nature Physics
    • April 2010

    Collective-phase description of coupled oscillators with general network structure

    • Physical Review E
    • September 2009

    Stochastic Phase Reduction for a General Class of Noisy Limit Cycle Oscillators

    • Physical Review Letters
    • May 2009

    Diffusion-induced instability and chaos in random oscillator networks

    • Physical Review E
    • March 2009

    Experimental synchronization of circuit oscillations induced by common telegraph noise

    • Physical Review E
    • March 2009

    Self-organizing timing allocation mechanism in distributed wireless sensor networks

    • IEICE Electronics Express
    • January 2009

    Averaging approach to phase coherence of uncoupled limit-cycle oscillators receiving co...

    • Physical Review E
    • December 2008

    Collective Phase Sensitivity

    • Physical Review Letters
    • July 2008

    Phase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Po...

    • Physical Review E
    • March 2008

    Noise-Induced Synchronization and Clustering in Ensembles of Uncoupled Limit-Cycle Osci...

    • Physical Review Letters
    • May 2007

    Noise-induced turbulence in nonlocally coupled oscillators

    • Physical Review E
    • March 2007

    Universal finite-sample effect on the perturbation growth in chaotic dynamical systems

    • Physical Review E
    • August 2006

    Population Coding by Globally Coupled Phase Oscillators

    • Journal of the Physical Society of Japan
    • March 2006

    Reproducibility of a Noisy Limit-Cycle Oscillator Induced by a Fluctuating Input

    • Progress of Theoretical Physics Supplement
    • January 2006

    Synchrony of limit-cycle oscillators induced by random external impulses

    • Physical Review E
    • August 2005

    Independent Component Analysis of Spatiotemporal Chaos

    • Journal of the Physical Society of Japan
    • June 2005

    Synchrony of neural Oscillators induced by random telegraphic currents

    • Physical Review E
    • March 2005

    Statistics of rare strong bursts in autocatalytic stochastic growth with diffusion

    • Chaos An Interdisciplinary Journal of Nonlinear Science
    • September 2003

    VISUALIZATION OF CORRELATION CASCADE IN SPATIOTEMPORAL CHAOS USING WAVELETS

    • International Journal of Bifurcation and Chaos
    • May 2001

    Multi-scaled turbulence in large populations of oscillators in a diffusive medium

    • Physica A Statistical Mechanics and its Applications
    • December 2000

    Multi-scaling properties of truncated Lévy flights

    • Physics Letters A
    • February 2000

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

    • Chaos An Interdisciplinary Journal of Nonlinear Science
    • December 1999

    Multiaffine Chemical Turbulence

    • Physical Review Letters
    • October 1998

    Asymptotic power law of moments in a random multiplicative process with weak additive n...

    • August 1998

    Scaling Properties in Large Assemblies of Simple Dynamical Units Driven by Long-Wave Ra...

    • Physical Review Letters
    • May 1997

    Power-law spatial correlations and the onset of individual motions in self-oscillatory ...

    • Physica D Nonlinear Phenomena
    • April 1997

    Origin of Power-Law Spatial Correlations in Distributed Oscillators and Maps with Nonlo...

    • Physical Review Letters
    • June 1996