A new paper by Dr. Zhu (Tokyo Tech and Nanjing University of Science and Technology) "Noise-tuned bursting in a Hedgehog burster" has been publisehd in Frontiers in Computational Neuroscience . We showed that the excitable neuron model called Hedgehog burster can exhibit various stochastic periodic orbits depending on the noise intensity and analyzed them using approximate theory. (2022.7)

A new paper by Mr. Namura (Tokyo Tech) et al. "Estimating asymptotic phase and amplitude functions of limit-cycle oscillators from time series data" has been published in Physical Review E . We proposed a method to estimate the asymptotic phase and amplitude functions of nonlinear oscillators from time series data. (2022.7)

A new paper by Dr. Kato (Future Univerisity Hakodate) "A definition of the asymptotic phase for quantum nonlinear oscillators from the Koopman operator viewpoint" has been publishsed in Chaos and chosen as the 'featured article.' We proposed a quantum-mechanical definition of the asymptotic phase for quantum disispative nonlinear oscillators from the viewpoint of Koopman operator theory. (2022.6)

A new paper by Dr. Zhu (Tokyo Tech and Nanjing University of Science and Technology) and Dr. Kato (Future University Hakodate) "Phase dynamics of noise-induced coherent oscillations in excitable systems" has been published in Physical Review Research. We formulated phase reduction theory for excitable systems exhibiting coherent oscillations due to noise and analyzed their synchronization phenomena. (2022.5)

A new paper by Mr. Taga (Waseda U) et al., "Koopman spectral analysis of elementary cellular automata" has been published in Chaos. We introduced the Koopman operator for ECA and discussed the relationship between its spectral properties and the dynamical properties of the system. (2021.10)

A new paper by Mr. Takata and Dr. Kato (Tokyo Tech), "Fast optimal entrainment of limit-cycle oscillators by strong periodic inputs via phase-amplitude reduction and Floquet theory" has been published in Chaos. We showed that fast optimal entrainment of limit-cycle oscillators can be realized by using strong input signals while suppressing amplitude fluctuations on the basis of the phase-amplitude description. (2021.9)

A new paper by Dr. Kato, Dr. Zhu (Tokyo Tech), and Dr. Kurebayashi (Hirosaki U), "Asymptotic Phase and Amplitude for Classical and Semiclassical Stochastic Oscillators via Koopman Operator Theory" has been published in Mathematics. Definition of asympotitc phase and amplitude for stochastic oscillatory systems is discussed from the Koopman-operator viewpoint. (2021.9)

A new paper by Dr. Kato (Tokyo Tech), "Optimization of periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators" has been published in Nonlinear Dynamics. Nonlinear programming approach to control of oscillator populations is discussed. Joint work with Dr. A. Zlotnik (LANL) and Prof. Jr-Shin Li (WashU). (2021.7)

A new paper by Dr. Zhu (Tokyo Tech / NJUST), "Stochastic periodic orbits in fast-slow systems with self-induced stochastic resonance" has been published in Physical Review Research. (2021.7)

A new paper "Sparse optimization of mutual synchronization in collectively oscillating networks" has been publisehd in Chaos. Joint work with Mr. Yamaguchi, Mr. Katayama, and Prof. Yanagita. (2021.6)

A book chapter "Phase and Amplitude Description of Complex Oscillatory Patterns in Reaction-Diffusion Systems" has been published in "Physics of Biological Oscillators. Understanding Complex Systems" (Eds. Prof. A. Stefanovska and Prof. P.V.E. McClintock, Springer). (2021.5)

A new paper by Dr. Kato (Tokyo Tech) "Quantum Coherence Resonance" has been published in New Journal of Physics. It is shown that coherence resonance similar to classical systems occurs in a quantum dissipative excitable system. (2021.4)

A new paper by Mr. Loe (Kotani lab, Univ. Tokyo) "Phase-reduction for synchronization of oscillating flow by perturbation on surrounding structure" has been published in Journal of Fluid Mechanics. (2021.2)

A new paper by Dr. Kato (Tokyo Tech) "Instantaneous phase synchronization of two decoupled quantum limit-cycle oscillators induced by conditional photon detection" has been published in Physical Review Research. (2021.1)

A new paper by Dr. Kato (Tokyo Tech) "Enhancement of quantum synchronization via continuous measurement and feedback control" has been published in New Journal of Physics. (2021.1)

Happy new year! (2021.1)

A new paper with Prof. Mezic (UCSB) "Spectral analysis of the Koopman operator for partial differential equations" has been published in Chaos (AIP). (2020.11)

A new paper with Prof. Kotani (Univ. Tokyo) on nonlinear phase-amplitude reduciton of delay-induced oscillations has been published in Physical Review Research. (2020.7)

A new paper with Prof. Carletti (Namur Univ.) on pattern formation on networks has been published in Physical Review E. (2020.2)

A new paper with Mr. Kato (Tokyo Tech.) on semiclassical optimization of entrainment stability in quantum nonlinear oscillators has been published in Physical Review E. (2020.1)

A new paper with Mr. Kato on semiclassical phase reduction of quantum nonlinear oscillator has been published in Physical Review Research. (2019.10)

A new paper with Mr. Watanabe on optimization of mutual synchronization has been published in Physical Review E. (2019.10)

A new review paper with Prof. Kuramoto (Kyoto Univ., emeritus) on dynamical reduction of coupled oscillators has been accepted in Philosophical Transactions of the Royal Society A. (2019.9)

Dr. Yamaguchi's new paper on suppression of macroscopic collective oscillations has been published in Journal of the Physical Society of Japan. (2019.5)

Mr. Ouchi's new paper on a mathematical model of cochlear two-tone suppression has been accepted for publication in NOLTA journal. (2018.8)

A new paper written by Prof. Taira (Florida State University) on phase synchroinzation of periodic flows has been accepted in Journal of Fluid Mechanics. (2018.4)

A new paper on phase reduction and synchronization of collectively oscillating networks of dynamical elements has been accepted in Chaos. (2017.12)

Dr. Kawamura's new paper on optimization of mutual synchronization between rhythmic spatiotemporal patterns in reaction-diffusion systems has been published in PRE. (2017.7)

Dr. Shirasaka's new paper on optimization of mutual synchronization between coupled limit-cycle oscillators has been published in PRE. (2017.7)

Dr. Hata's new paper on localization of Laplacian eigenvectors on random networks has been accepted in Scientific Reports. (2017.3)

Dr. Shirasaka's new paer on phase-amplitude reduction of transient dynamics to limit cycles has been publisehd in Chaos. (2017.2)

Mr. Shirasaka's new paper on phase reduction of hybrid limit-cycle oscillators has been published in Physical Review E. (2017.1)

Dr. Kawamura's paper on optimization of noise-induced synchronization of oscillator networks has been published in Physical Review E. (2016.9)

A new review paper on phase reduction approach to synchronization of nonlinear oscillators has been published in Contemporary Physics. (2015.10)

Happy new year! (2015.1)

Dr. Kurebayashi's paper on phase reduction of strongly perturbed oscillators has been accepted in NOLTA. (2014.12)

Dr. Kawamura's paper on two-phase reduction of oscillatory and traveling convection has been accepted in Physica D. (2014.12)

A minireview on complex Ginzburg-Landau equation on networks has been published in EPJST. (2014.7)

Mr. Kurebayashi's new paper on design on noise-induced synchronization patterns has been accepted in EPL. (2014.6)

A new paper on phase reduction of spatiotemporal rhythms in reaction-diffusion systems has been accepted in PRX. (2014.3)

Dr. Hata's new paper on advection of passive particles over flow networks has been published in PRE. (2014.3)

Dr. Kawamura's papers on collective phase description of oscillatory convection have been published in Chaos and in PRE. (2014.2)

Dr. Hata's new paper on oscillatory Turing patterns on complex networks has been published in Sci. Rep. (2014.1)

Happy new year! (2014.1)

Mr. Kurebayashi's new paper on phase reduction of strongly perturbed limit-cycle oscillators has been accepted in PRL. (2013.10)

Dr. Hata's new paper on oscillatory Turing bifurcation in three-componet reaction-diffusion systems has been accepted in PTEP. (2013.10)

A new paper on relaxation of coupled noisy bistable systems on a scale-free network has been accepted in PRE. (2013.10)