All Stories

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

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, June 2022, American Institute of Physics

    Hiroya Nakao

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

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, September 2021, American Institute of Physics

    Hiroya Nakao

  3. Sparse optimization of mutual synchronization in collectively oscillating networks

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, June 2021, American Institute of Physics

    Hiroya Nakao

  4. Spectral analysis of the Koopman operator for partial differential equations

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, November 2020, American Institute of Physics

    Hiroya Nakao

  5. Phase-response analysis of synchronization for periodic flows

    Article • Journal of Fluid Mechanics, May 2018, Cambridge University Press

    Hiroya Nakao

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

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, April 2018, American Institute of Physics

    Hiroya Nakao

  7. Erratum: Localization of Laplacian eigenvectors on random networks

    Article • Scientific Reports, September 2017, Nature

    Hiroya Nakao

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

    Article • July 2017, American Physical Society (APS)

    Hiroya Nakao

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

    Article • July 2017, American Physical Society (APS)

    Hiroya Nakao

  10. Localization of Laplacian eigenvectors on random networks

    Article • Scientific Reports, April 2017, Springer Science + Business Media

    Hiroya Nakao

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

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, February 2017, American Institute of Physics

    Hiroya Nakao

  12. Phase reduction theory for hybrid nonlinear oscillators

    Article • January 2017, American Physical Society (APS)

    Hiroya Nakao

  13. Optimization of noise-induced synchronization of oscillator networks

    Article • September 2016, American Physical Society (APS)

    Hiroya Nakao

  14. Phase reduction approach to synchronisation of nonlinear oscillators

    Article • Contemporary Physics, October 2015, Taylor & Francis

    Hiroya Nakao

  15. Phase description of oscillatory convection with a spatially translational mode

    Article • Physica D Nonlinear Phenomena, March 2015, Elsevier

    Hiroya Nakao

  16. A criterion for timescale decomposition of external inputs for generalized phase reduction of limit-cycle oscillators

    Article • Nonlinear Theory and Its Applications IEICE, January 2015, Institute of Electronics, Information and Communications Engineers (IEICE)

    Hiroya Nakao

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

    Article • The European Physical Journal Special Topics, July 2014, Springer Science + Business Media

    Hiroya Nakao

  18. Linear Analysis of the Corticothalamic Model with Time Delay

    Article • Electronics and Communications in Japan, July 2014, Wiley

    Hiroya Nakao

  19. Phase-Reduction Approach to Synchronization of Spatiotemporal Rhythms in Reaction-Diffusion Systems

    Article • Physical Review X, May 2014, American Physical Society (APS)

    Hiroya Nakao

  20. Advection of passive particles over flow networks

    Article • Physical Review E, February 2014, American Physical Society (APS)

    Hiroya Nakao

  21. Noise-induced synchronization of oscillatory convection and its optimization

    Article • Physical Review E, January 2014, American Physical Society (APS)

    Hiroya Nakao

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

    Article • Scientific Reports, January 2014, Springer Science + Business Media

    Hiroya Nakao

  23. A Theory on Noise-Induced Synchronization of Chaotic Oscillators

    Article • IEICE Proceeding Series, January 2014, The Institute of Electronics, Information and Communication Engineers

    Hiroya Nakao

  24. Ginzburg-Landau Equations Reduced from Coupled Delay Differential Equations

    Article • IEICE Proceeding Series, January 2014, The Institute of Electronics, Information and Communication Engineers

    Hiroya Nakao

  25. Enhancement of noise correlation for noise-induced synchronization of limit-cycle oscillators by threshold filtering

    Article • Nonlinear Theory and Its Applications IEICE, January 2014, Institute of Electronics, Information and Communications Engineers (IEICE)

    Hiroya Nakao

  26. Collective phase description of oscillatory convection

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, December 2013, American Institute of Physics

    Hiroya Nakao

  27. Phase Reduction Method for Strongly Perturbed Limit Cycle Oscillators

    Article • Physical Review Letters, November 2013, American Physical Society (APS)

    Hiroya Nakao

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

    Article • Physical Review E, November 2013, American Physical Society (APS)

    Hiroya Nakao

  29. Adjoint Method Provides Phase Response Functions for Delay-Induced Oscillations

    Article • Physical Review Letters, July 2012, American Physical Society (APS)

    Hiroya Nakao

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

    Article • Physical Review E, May 2012, American Physical Society (APS)

    Hiroya Nakao

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

    Article • Procedia IUTAM, January 2012, Elsevier

    Hiroya Nakao

  32. Linear Analysis of the Corticothalamic Model with Time Delay

    Article • IEEJ Transactions on Electronics Information and Systems, January 2012, Institute of Electrical Engineers of Japan (IEE Japan)

    Hiroya Nakao

  33. 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

    Article • IEEJ Transactions on Electronics Information and Systems, January 2012, Institute of Electrical Engineers of Japan (IEE Japan)

    Hiroya Nakao

  34. Reduction Theories Elucidate the Origins of Complex Biological Rhythms Generated by Interacting Delay-Induced Oscillations

    Article • PLoS ONE, November 2011, PLOS

    Hiroya Nakao

  35. Collective phase description of globally coupled excitable elements

    Article • Physical Review E, October 2011, American Physical Society (APS)

    Hiroya Nakao

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

    Article • Physical Review E, July 2011, American Physical Society (APS)

    Hiroya Nakao

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

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, December 2010, American Institute of Physics

    Hiroya Nakao

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

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, December 2010, American Institute of Physics

    Hiroya Nakao

  39. Dynamics of Limit-Cycle Oscillators Subject to General Noise

    Article • Physical Review Letters, October 2010, American Physical Society (APS)

    Hiroya Nakao

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

    Article • Physical Review E, September 2010, American Physical Society (APS)

    Hiroya Nakao

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

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, September 2010, American Institute of Physics

    Hiroya Nakao

  42. Turing patterns in network-organized activator–inhibitor systems

    Article • Nature Physics, April 2010, Springer Science + Business Media

    Hiroya Nakao

  43. Collective-phase description of coupled oscillators with general network structure

    Article • Physical Review E, September 2009, American Physical Society (APS)

    Hiroya Nakao

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

    Article • Physical Review Letters, May 2009, American Physical Society (APS)

    Hiroya Nakao

  45. Diffusion-induced instability and chaos in random oscillator networks

    Article • Physical Review E, March 2009, American Physical Society (APS)

    Hiroya Nakao

  46. Experimental synchronization of circuit oscillations induced by common telegraph noise

    Article • Physical Review E, March 2009, American Physical Society (APS)

    Hiroya Nakao

  47. Self-organizing timing allocation mechanism in distributed wireless sensor networks

    Article • IEICE Electronics Express, January 2009, Institute of Electronics, Information and Communications Engineers (IEICE)

    Hiroya Nakao, Professor Hisa-Aki Tanaka

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

    Article • Physical Review E, December 2008, American Physical Society (APS)

    Hiroya Nakao

  49. Collective Phase Sensitivity

    Article • Physical Review Letters, July 2008, American Physical Society (APS)

    Hiroya Nakao

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

    Article • Physical Review E, March 2008, American Physical Society (APS)

    Hiroya Nakao

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

    Article • Physical Review Letters, May 2007, American Physical Society (APS)

    Hiroya Nakao

  52. Noise-induced turbulence in nonlocally coupled oscillators

    Article • Physical Review E, March 2007, American Physical Society (APS)

    Hiroya Nakao

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

    Article • Physical Review E, August 2006, American Physical Society (APS)

    Hiroya Nakao

  54. Population Coding by Globally Coupled Phase Oscillators

    Article • Journal of the Physical Society of Japan, March 2006, Physical Society of Japan

    Hiroya Nakao

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

    Article • Progress of Theoretical Physics Supplement, January 2006, Oxford University Press (OUP)

    Hiroya Nakao

  56. Synchrony of limit-cycle oscillators induced by random external impulses

    Article • Physical Review E, August 2005, American Physical Society (APS)

    Hiroya Nakao

  57. Independent Component Analysis of Spatiotemporal Chaos

    Article • Journal of the Physical Society of Japan, June 2005, Physical Society of Japan

    Hiroya Nakao

  58. Synchrony of neural Oscillators induced by random telegraphic currents

    Article • Physical Review E, March 2005, American Physical Society (APS)

    Hiroya Nakao

  59. Statistics of rare strong bursts in autocatalytic stochastic growth with diffusion

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, September 2003, American Institute of Physics

    Hiroya Nakao

  60. VISUALIZATION OF CORRELATION CASCADE IN SPATIOTEMPORAL CHAOS USING WAVELETS

    Article • International Journal of Bifurcation and Chaos, May 2001, World Scientific Pub Co Pte Lt

    Hiroya Nakao

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

    Article • Physica A Statistical Mechanics and its Applications, December 2000, Elsevier

    Hiroya Nakao

  62. Multi-scaling properties of truncated Lévy flights

    Article • Physics Letters A, February 2000, Elsevier

    Hiroya Nakao

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

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, December 1999, American Institute of Physics

    Hiroya Nakao

  64. Multiaffine Chemical Turbulence

    Article • Physical Review Letters, October 1998, American Physical Society (APS)

    Hiroya Nakao

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

    Article • August 1998, American Physical Society (APS)

    Hiroya Nakao

  66. Scaling Properties in Large Assemblies of Simple Dynamical Units Driven by Long-Wave Random Forcing

    Article • Physical Review Letters, May 1997, American Physical Society (APS)

    Hiroya Nakao

  67. Power-law spatial correlations and the onset of individual motions in self-oscillatory media with non-local coupling

    Article • Physica D Nonlinear Phenomena, April 1997, Elsevier

    Hiroya Nakao

  68. Origin of Power-Law Spatial Correlations in Distributed Oscillators and Maps with Nonlocal Coupling

    Article • Physical Review Letters, June 1996, American Physical Society (APS)

    Hiroya Nakao