Papers
"Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems",
Yoji Kawamura, Sho Shirasaka, Tatsuo Yanagita, and Hiroya Nakao,
Physical Review E 96, 012224.
(Journal, PDF)
"Optimizing stability of mutual synchronization between a pair of limit-cycle oscillators with weak cross coupling",
Sho Shirasaka, Nobuhiro Watanabe, Yoji Kawamura, and Hiroya Nakao,
Physical Review E 96, 012223.
(Journal, PDF)
"Localization of Laplacian eigenvectors in random networks",
Shigeumi Hata and Hiroya Nakao,
Scientific Reports 7, Article number: 1121.
(Journal, PDF)
"Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems",
Sho Shirasaka, Wataru Kurebayashi, and Hiroya Nakao,
Chaos 27, 023119 (2017).
(Journal, PDF)
"Phase reduction theory for hybrid nonlinear oscillators",
Sho Shirasaka, Wataru Kurebayashi, and Hiroya Nakao,
Phys. Rev. E 95, 012212 (2017).
(Journal, PDF)
"Optimization of noise-induced synchronization of oscillator networks",
Yoji Kawamura and Hiroya Nakao,
Phys. Rev. E 94, 032201 (2016).
(Journal, PDF)
"Phase reduction approach to synchronization of nonlinear oscillators" (review),
Hiroya Nakao,
Contemporary Physics 57, 188-214 (2016).
(Journal)
"A criterion for timescale decomposition of external inputs for generalized phase reduction of limit-cycle oscillators",
Wataru Kurebayashi, Sho Shirasaka, and Hiroya Nakao,
Nonlinear Theory and Its Applications (IEICE) 6, 171-180 (2015).
(Journal)
"Phase description of oscillatory convection with a spatially translational mode",
Yoji Kawamura and Hiroya Nakao,
Physica D 295-296, 11-29 (2015).
(Journal)
"Design and control of noise-induced synchronization patterns",
Wataru Kurebayashi, Tsubasa Ishii, Mikio Hasegawa and Hiroya Nakao,
EPL 107, 10009 (2014) [6 pages].
(Journal)
"Complex Ginzburg-Landau equation on networks and its non-uniform dynamics",
Hiroya Nakao,
Eur. Phys. J. Special Topics 223, 2411-2421 (2014).
(Journal)
"Linear Analysis of the Corticothalamic Model with Time Delay",
Ikuhiro Yamaguchi, Yutaro Ogawa, Hiroya Nakao, Yasuhiko Jimbo, Kiyoshi Kotani,
Electronics and Communications in Japan 97, 32-44 (2014).
(Journal)
"Phase reduction approach to synchronization of spatiotemporal rhythms in reaction-diffusion systems",
Hiroya Nakao, Tatsuo Yanagita, and Yoji Kawamura,
Physical Review X 4, 021032 (2014) [23 pages].
(Journal,
PDF)
"Enhancement of noise correlation for noise-induced synchronization of limit-cycle oscillators by threshold filtering",
Masahiro Kazama, Wataru Kurebayashi, Takahiro Tsuchida, Yuta Minoshima, Mikio Hasegawa, Koji Kimura, and Hiroya Nakao,
Nonlinear Theory and Its Applications (IEICE) 5 157-171 (2014).
(Journal,
PDF)
"Advection of passive particles over flow networks",
Shigefumi Hata, Hiroya Nakao, and Alexander S. Mikhailov,
Physical Review E 89, 020801(R) (2014) [4 pages].
(Journal,
PDF)
"Noise-induced synchronization of oscillatory convection and its optimization",
Yoji Kawamura and Hiroya Nakao,
Physical Review E 89, 012912 (2014) [13 pages].
(Journal,
PDF)
"Dispersal-induced destabilization of metapopulations and oscillatory Turing patterns in ecological networks",
Shigefumi Hata, Hiroya Nakao, and Alexander S. Mikhailov,
Scientific Reports 4, 3585 (2014) [9 pages].
(Journal)
"Sufficient conditions for wave instability in three-component reaction-diffusion systems",
Shigefumi Hata, Hiroya Nakao, and Alexander S. Mikhailov,
Progress of Theoretical and Experimental Physics, 013A01 (2014) [17 pages].
(Journal)
"Collective phase description of oscillatory convection",
Yoji Kawamura and Hiroya Nakao,
Chaos 23, 043129 (2013) [11 pages].
(Journal,
PDF)
"Phase reduction method for strongly perturbed limit cycle oscillators",
Wataru Kurebayashi, Sho Shirasaka, and Hiroya Nakao,
Physical Review Letters 111, 214101 (2013) [5 pages].
(Journal,
PDF)
"Phase ordering in coupled noisy bistable systems on scale-free networks",
Y. A., S. H., and H. N.,
Physical Review E 88, 052806 (2013) [15 pages].
(Journal,
PDF)
"Adjoint method provides phase response functions for delay-induced oscillations",
Kiyoshi Kotani, Ikuhiro Yamaguchi, Yutaro Ogawa, Yasuhiko Jimbo, Hiroya Nakao, G. Bard Ermentrout,
Physical Review Letters 109, 044101 (2012) [5 pages].
(Journal,
PDF)
"Global feedback control of Turing patterns in network-organized activator-inhibitor systems",
Shigefumi Hata, Hiroya Nakao, and Alexander S. Mikhailov,
EPL 98, 64004 (2012) [6 pages].
(Journal)
"Persistent fluctuations in the synchronization rate in globally coupled oscillators with periodic external forcing",
Y. A and H. N,
Physical Review E 85, 056207 (12 pages) (2012).
(Journal,
PDF)
"Reduction Theories Elucidate the Origins of Complex Biological Rhythms Generated by Interacting Delay-Induced Oscillations",
Ikuhiro Yamaguchi, Yutaro Ogawa, Yasuhiko Jimbo, Hiroya Nakao, and Kiyoshi Kotani,
PLoS ONE 6, e26497 (1-10) (2011).
(Journal)
"Collective phase description of globally coupled excitable elements",
Yoji Kawamura, Hiroya Nakao, and Yoshiki Kuramoto,
Physical Review E 84, 046211 (1-12) (2011).
(Journal,
PDF)
"Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise",
Shigefumi Hata, Kensuke Arai, Roberto F. Galán, and Hiroya Nakao,
Physical Review E 84, 016229 (1-10) (2011).
(Journal,
PDF)
"Phase synchronization between collective rhythms of globally coupled oscillator groups: Noisy identical case",
Yoji Kawamura, Hiroya Nakao, Kensuke Arai, Hiroshi Kori, and Yoshiki Kuramoto,
Chaos 20, 043109 (1-10) (2010).
(Journal,
PDF)
"Phase synchronization between collective rhythms of globally coupled oscillator groups: Noiseless non-identical case",
Yoji Kawamura, Hiroya Nakao, Kensuke Arai, Hiroshi Kori, and Yoshiki Kuramoto,
Chaos 20, 043110 (1-8) (2010).
(Journal,
PDF)
"Dynamics of limit cycle oscillators subject to general noise",
Denis S. Goldobin. Jun-nosuke Teramae, Hiroya Nakao, and G. Bard Ermentrout,
Physical Review Letters 105, 154101 (1-4) (2010).
(Journal,
PDF)
"Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise",
Hiroya Nakao, Jun-nosuke Teramae, Denis S. Goldobin, and Yoshiki Kuramoto,
Chaos 20, 033126 (1-10) (2010).
(Journal,
PDF)
"Synchronization of uncoupled oscillators by common gamma impulses: from phase locking to noise-induced synchronization",
Shigefumi Hata, Takeaki Shimokawa, Kensuke Arai, and Hiroya Nakao,
Physical Review E 82, 036206 (1-12) (2010).
(Journal,
PDF)
"Turing patterns in network-organized activator-inhibitor systems",
Hiroya Nakao and Alexander S. Mikhailov,
Nature Physics 6, 544-550 (2010).
(Journal)
"Self-organizing timing allocation mechanism in distributed wireless sensor networks",
Hisa-aki Tanaka, Hiroya Nakao, and Kenta Shinohara,
IEICE Electronic Express (ELEX) 6, 1562-1568 (2009).
(Journal,
PDF)
"Collective dynamical response of coupled oscillators with general network structure",
Hiroshi Kori, Yoji Kawamura, Hiroya Nakao, Kensuke Arai, and Yoshiki Kuramoto,
Physical Review E 80, 036207(1-9) (2009).
(Journal,
PDF)
"Stochastic phase reduction for a general class of noisy limit cycle oscillators",
Jun-nosuke Teramae, Hiroya Nakao, and G. Bard Ermentrout,
Physical Review Letters 102, 194102(1-4) (2009).
(Journal,
PDF)
"Diffusion-induced instability and chaos in random oscillator networks",
Hiroya Nakao and Alexander S. Mikhailov,
Physical Review E 79, 036214(1-5) (2009).
(Journal,
PDF)
"Experimental synchronization of circuit oscillations induced by common telegraph noise",
Ken Nagai and Hiroya Nakao,
Physical Review E 79, 036205(1-6) (2009).
(Journal,
PDF)
"Averaging approach to phase coherence of uncoupled limit-cycle oscillators receiving common random impulses",
Kensuke Arai and Hiroya Nakao,
Physical Review E 78, 066220(1-8) (2008).
(Journal,
PDF)
"Collective phase sensitivity",
Yoji Kawamura, Hiroya Nakao, Kensuke Arai, Hiroshi Kori, and Yoshiki Kuramoto,
Physical Review Letters 101, 024101(1-4) (2008).
(Journal,
PDF)
"Phase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses",
Kensuke Arai and Hiroya Nakao,
Physical Review E 77, 036218(1-17) (2008).
(Journal,
PDF)
"Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators",
Hiroya Nakao, Kensuke Arai, and Yoji Kawamura,
Physical Review Letters 98, 184101(1-4) (2007).
(Journal,
PDF)
"Noise-induced turbulence in nonlocally coupled oscillators",
Yoji Kawamura, Hiroya Nakao, and Yoshiki Kuramoto,
Physical Review E 75, 036209(1-17) (2007).
(Journal,
PDF)
"Universal finite-sample effect on the perturbation growth in chaotic dynamical systems",
Hiroya Nakao, Shuya Kitada, and Alexander S. Mikhailov,
Physical Review E 74, 026213(1-10) (2006).
(Journal,
PDF)
"Reproducibility of a noisy limit-cycle oscillator induced by a fluctuating input",
Hiroya Nakao, Ken Nagai, and Kensuke Arai,
Progress of Theoretical Physics Supplement (OCNN2004 proceedings) 161, 294-297 (2006).
(Journal)
"Population coding by globally coupled phase oscillators",
Hiroya Nakao,
Journal of the Physical Society of Japan 75, 034001(1-7) (2006).
(Journal)
"Synchrony of limit-cycle oscillators induced by random external impulses",
Hiroya Nakao, Ken-suke Arai, Ken Nagai, Yasuhiro Tsubo, and Yoshiki Kuramoto,
Physical Review E 72, 026220(1-13) (2005).
(Journal,
PDF)
"Independent component analysis of spatiotemporal chaos",
Hirokazu Asano and Hiroya Nakao,
Journal of the Physical Society of Japan 74, 1661-1665 (2005).
(Journal)
"Synchrony of neural oscillators induced by random telegraphic currents",
Ken Nagai, Hiroya Nakao, and Yasuhiro Tsubo,
Physical Review E 71, 036217(1-8) (2005).
(Journal,
PDF)
"Statistics of rare strong bursts in autocatalytic stochastic growth with diffusion",
Hiroya Nakao and Alexander S. Mikhailov,
Chaos 13, 953-961 (2003).
(Journal,
PDF)
"Visualization of correlation cascade in spatio-temporal chaos using wavelets",
Hiroya Nakao, Tsuyoshi Mishiro, and Michio Yamada,
International Journal of Bifurcation and Chaos 11, 1483-1493 (2001).
(Journal)
"Multi-scaling properties of truncated Levy flights",
Hiroya Nakao,
Physics Letters A 266, 282-289 (2000).
(Journal)
"Multi-scaled turbulence in large populations of oscillators in a diffusive medium",
Yoshiki Kuramoto, Hiroya Nakao, and Dorjsuren Battogtokh,
Physica A 288, 244-264 (2000).
(Journal)
"Anomalous spatio-temporal chaos in a two-dimensional system of non-locally coupled oscillators",
Hiroya Nakao,
Chaos 9, 902-909 (1999).
(Journal,
PDF)
"Multi-affinity and multi-fractality in systems of chaotic elements with long-wave forcing",
Hiroya Nakao and Yoshiki Kuramoto,
European Physical Journal B 11, 345-360 (1999).
(Journal)
"Multiaffine Chemical Turbulence",
Yoshiki Kuramoto, Dorjsuren Battogtokh, and Hiroya Nakao,
Physical Review Letters 81, 3543-3546 (1998).
(Journal,
PDF)
"Asymptotic power law of moments in a random multiplicative process with weak additive noise",
Hiroya Nakao,
Physical Review E 58, 1591-1600 (1998).
(Journal,
PDF)
"Power-Law Spatial Correlations and the Onset of Individual Motions in Self-Oscillatory Media with Non-Local Coupling",
Yoshiki Kuramoto and Hiroya Nakao,
Physica D 103, 294-313 (1997).
(Journal)
"Scaling Properties in Large Assemblies of Simple Dynamical Units Driven by Long-Wave Random Forcing",
Yoshiki Kuramoto and Hiroya Nakao,
Physical Review Letters 78, 4039-4042 (1997).
(Journal,
PDF)
"Origin of Power-Law Spatial Correlations in Distributed Oscillators and Maps with Nonlocal Coupling",
Yoshiki Kuramoto and Hiroya Nakao,
Physical Review Letters 76, 4352-4355 (1996).
(Journal,
PDF)
gOptimal Parameter Selection for Kernel Dynamic Mode Decompositionh,
Wataru Kurebayashi, Sho Shirasaka and Hiroya Nakao,
Proceedings of 2016 International Symposium on Nonlinear Theory and Its Applications, NOLTA2016, Yugawara, Japan, November 27th-30th, 2016, 370-373.
gStability and sensitivity of synchronized states in a network of symmetrically coupled nonlinear oscillators for generating gait patternsh,
Masashi Ota, Sho Yasui, Sho Shirasaka, and Hiroya Nakao,
Proceedings of 2015 International Symposium on Nonlinear Theory and its Applications NOLTA2015, Kowloon, Hong Kong, China, December 1-4, 2015, 664-667.
gUncontrolled manifold analysis of oscillatory motions in dynamical models of body movement based on the Floquet theoryh,
Sho Shirasaka, Wataru Kurebayashi, and Hiroya Nakao,
Proceedings of 2015 International Symposium on Nonlinear Theory and its Applications NOLTA2015, Kowloon, Hong Kong, China, December 1-4, 2015, 668-671.
"Bayesian Parameter Estimation of Non-stationary Collective Dynamics in Moving Animal Groups",
Ken Nishikawa, Wataru Kurebayashi, and Hiroya Nakao,
Proceedings of 2014 International Symposium on Nonlinear Theory and its Applications, Luzern, Switzerland, 882-885 (2014).
"Synchronization Analysis of Nonlinear Oscillators by a Quadratic Phase Model",
Wataru Kurebayashi, Sho Shirasaka, and Hiroya Nakao,
Proceedings of 2014 International Symposium on Nonlinear Theory and its Applications, Luzern, Switzerland, 874-877 (2014).
"A Theory on Noise-Induced Synchronization of Chaotic Oscillators",
Wataru Kurebayashi, Kantaro Fujiwara, Hiroya Nakao, and Tohru Ikeguchi,
Proceedings of 2012 International Symposium on Nonlinear Theory and its Applications, Palma, Majorca, Spain, 344-347 (2012).
"Ginzburg-Landau Equations Reduced from Coupled Delay Differential Equations",
Ikuhiro Yamaguchi, Yutaro Ogawa, Hiroya Nakao, Yasuhiko Jimbo, and Kiyoshi Kotani,
Proceedings of 2012 International Symposium on Nonlinear Theory and its Applications, Palma, Majorca, Spain, 915-918 (2012).
"Phase description of stable limit-cycle solutions in reaction-diffusion systems",
Hiroya Nakao, Tatsuo Yanagita, and Yoji Kawamura,
Procedia IUTAM, vol. 5, 227-233 (2012).
(PDF)
"Optimal phase response curves for stochastic synchronization and desynchronization of limit-cycle oscillators",
Shigefumi Hata and Hiroya Nakao,
Proceedings of 2011 International Symposium on Nonlinear Theory and its Applications, Kobe, Japan, 100-103 (2011).
"The analysis of phase coherence of an ensemble of uncoupled limit-cycle oscillators via averaging of a jump-diffusion Kolmogorov equation",
Kensuke Arai and Hiroya Nakao,
Proceedings of 2007 International Symposium on Nonlinear Theory and its Applications, Vancouver, Canada, 100-103 (2007).
(PDF)
"Reproducibility of limit-cycle oscillators induced by random impulses",
Kensuke Arai and Hiroya Nakao,
Proceedings of 2006 International Symposium on Nonlinear Theory and its Applications, Bologna, Italy, 295-298 (2006).
(PDF)
"Comment on 'Phase Reduction of Stochastic Limit Cycle Oscillators'",
Hiroya Nakao, Jun-nosuke Teramae, and G. Bard Ermentrout,
(arXiv preprint,
PDF)
Unpublished, but see Physical Review Letters 102, 194102(1-4) (2009).
(Journal,
PDF)
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