453 citations · 3.4k across the 81 of their papers we have counts for
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Designing two-dimensional limit-cycle oscillators with prescribed trajectories and phase-response characteristics
Norihisa Namura, Tsubasa Ishii, Hiroya Nakao
We propose a method for designing two-dimensional limit-cycle oscillators with prescribed periodic trajectories and phase response properties based on the phase reduction theory, w…
Asymptotic phase and amplitude for classical and semiclassical stochastic oscillators via Koopman operator theory
Yuzuru Kato, Jinjie Zhu, Wataru Kurebayashi +1
The asymptotic phase is a fundamental quantity for the analysis of deterministic limit-cycle oscillators, and generalized definitions of the asymptotic phase for stochastic oscilla…
Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise
Hiroya Nakao, Jun-nosuke Teramae, Denis S. Goldobin +1
An effective white-noise Langevin equation is derived that describes long-time phase dynamics of a limit-cycle oscillator subjected to weak stationary colored noise. Effective drif…
Noise-induced Turbulence in Nonlocally Coupled Oscillators
Yoji Kawamura, Hiroya Nakao, Yoshiki Kuramoto
We demonstrate that nonlocally coupled limit-cycle oscillators subject to spatiotemporally white Gaussian noise can exhibit a noise-induced transition to turbulent states. After il…
Independent Component Analysis of Spatiotemporal Chaos
H. Asano, H. Nakao
Two types of spatiotemporal chaos exhibited by ensembles of coupled nonlinear oscillators are analyzed using independent component analysis (ICA). For diffusively coupled complex G…
Visualization of correlation cascade in spatio-temporal chaos using wavelets
Hiroya Nakao, Tsuyoshi Mishiro, Michio Yamada
We propose a simple method to visualize spatio-temporal correlation between scales using wavelets, and apply it to two typical spatio-temporally chaotic systems, namely to coupled…