List of works - Hiroya Nakao

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

scientific article published in 2022

Adjoint method provides phase response functions for delay-induced oscillations.

scientific article published on 24 July 2012

Advection of passive particles over flow networks

scientific article published on 28 February 2014

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

scientific article published on 01 December 1999

Averaging approach to phase coherence of uncoupled limit-cycle oscillators receiving common random impulses

scientific article published on 29 December 2008

Collective phase description of globally coupled excitable elements

scientific article published on 24 October 2011

Collective phase description of oscillatory convection

scientific article published in December 2013

Collective phase sensitivity

scientific article published on 08 July 2008

Collective-phase description of coupled oscillators with general network structure

scientific article published on 21 September 2009

Diffusion-induced instability and chaos in random oscillator networks

scientific article published on 31 March 2009

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

scientific article published on 07 January 2014

Dynamics of Limit-Cycle Oscillators Subject to General Noise

scientific article published in Physical Review Letters

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

scientific article published in September 2010

Erratum: Localization of Laplacian eigenvectors on random networks

scientific article published on 6 September 2017

Experimental synchronization of circuit oscillations induced by common telegraph noise

scientific article published on 19 March 2009

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

scientific article

Localization of Laplacian eigenvectors on random networks

scientific article published on 25 April 2017

Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators

scientific article published on 02 May 2007

Noise-induced synchronization of oscillatory convection and its optimization ⬇️

scientific article published on 16 January 2014

Noise-induced turbulence in nonlocally coupled oscillators

scientific article published on 14 March 2007

On the concept of dynamical reduction: the case of coupled oscillators

scientific article published on 28 October 2019

Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise

scientific article published on 29 July 2011

Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators

scientific article published on 01 October 2019

Optimization of noise-induced synchronization of oscillator networks.

scientific article published on 2 September 2016

Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems.

scientific article published on 26 July 2017

Optimizing stability of mutual synchronization between a pair of limit-cycle oscillators with weak cross coupling

scientific article published on 26 July 2017

Origin of power-law spatial correlations in distributed oscillators and maps with nonlocal coupling

scientific article published on 01 June 1996

Persistent fluctuations in synchronization rate in globally coupled oscillators with periodic external forcing

scientific article published on 14 May 2012

Phase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses

scientific article published on 25 March 2008

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

scientific article published on 11 November 2013

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

scientific article published on 01 April 2018

Phase reduction approach to synchronisation of nonlinear oscillators ⬇️

Phase reduction method for strongly perturbed limit cycle oscillators ⬇️

scientific article published on 22 November 2013

Phase reduction theory for hybrid nonlinear oscillators ⬇️

scientific article published on 23 January 2017

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

scientific article published in December 2010

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

scientific article published in December 2010

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

scientific article

Reduction theories elucidate the origins of complex biological rhythms generated by interacting delay-induced oscillations

scientific article

Semiclassical optimization of entrainment stability and phase coherence in weakly forced quantum limit-cycle oscillators

scientific article published on 01 January 2020

Spectral analysis of the Koopman operator for partial differential equations

scientific article published on 01 November 2020

Statistics of rare strong bursts in autocatalytic stochastic growth with diffusion

scientific article

Stochastic phase reduction for a general class of noisy limit cycle oscillators.

scientific article published on 14 May 2009

Synchronization of uncoupled oscillators by common gamma impulses: From phase locking to noise-induced synchronization

scientific article published on 14 September 2010

Synchrony of limit-cycle oscillators induced by random external impulses

scientific article published on 24 August 2005

Synchrony of neural oscillators induced by random telegraphic currents

scientific article published on 21 March 2005

Turing instability in quantum activator–inhibitor systems

scientific article published in 2022

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

scientific article published on 28 August 2006

List of works by Hiroya Nakao

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

Adjoint method provides phase response functions for delay-induced oscillations.

Advection of passive particles over flow networks

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

Averaging approach to phase coherence of uncoupled limit-cycle oscillators receiving common random impulses

Collective phase description of globally coupled excitable elements

Collective phase description of oscillatory convection

Collective phase sensitivity

Collective-phase description of coupled oscillators with general network structure

Diffusion-induced instability and chaos in random oscillator networks

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

Dynamics of Limit-Cycle Oscillators Subject to General Noise

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

Erratum: Localization of Laplacian eigenvectors on random networks

Experimental synchronization of circuit oscillations induced by common telegraph noise

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

Localization of Laplacian eigenvectors on random networks

Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators

Noise-induced synchronization of oscillatory convection and its optimization ⬇️

Noise-induced turbulence in nonlocally coupled oscillators

On the concept of dynamical reduction: the case of coupled oscillators

Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise

Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators

Optimization of noise-induced synchronization of oscillator networks.

Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems.

Optimizing stability of mutual synchronization between a pair of limit-cycle oscillators with weak cross coupling

Origin of power-law spatial correlations in distributed oscillators and maps with nonlocal coupling

Persistent fluctuations in synchronization rate in globally coupled oscillators with periodic external forcing

Phase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses

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

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

Phase reduction approach to synchronisation of nonlinear oscillators ⬇️

Phase reduction method for strongly perturbed limit cycle oscillators ⬇️

Phase reduction theory for hybrid nonlinear oscillators ⬇️

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

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

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

Reduction theories elucidate the origins of complex biological rhythms generated by interacting delay-induced oscillations

Semiclassical optimization of entrainment stability and phase coherence in weakly forced quantum limit-cycle oscillators

Spectral analysis of the Koopman operator for partial differential equations

Statistics of rare strong bursts in autocatalytic stochastic growth with diffusion

Stochastic phase reduction for a general class of noisy limit cycle oscillators.

Synchronization of uncoupled oscillators by common gamma impulses: From phase locking to noise-induced synchronization

Synchrony of limit-cycle oscillators induced by random external impulses

Synchrony of neural oscillators induced by random telegraphic currents

Turing instability in quantum activator–inhibitor systems

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