579 citations · 1.6k across the 16 of their papers we have counts for
16 papers
On the Concept of Dynamical Reduction : The Case of Coupled Oscillators
Yoshiki Kuramoto, Hiroya Nakao
An overview is given on two representative methods of dynamical reduction known as center-manifold reduction and phase reduction. These theories are presented in a somewhat more un…
Clustering in Globally Coupled Oscillators Near a Hopf Bifurcation: Theory and Experiments
Hiroshi Kori, Yoshiki Kuramoto, Swati Jain +2
A theoretical analysis is presented to show the general occurrence of phase clusters in weakly, globally coupled oscillators close to a Hopf bifurcation. Through a reductive pertur…
Collective phase description of globally coupled excitable elements
Yoji Kawamura, Hiroya Nakao, Yoshiki Kuramoto
We develop a theory of collective phase description for globally coupled noisy excitable elements exhibiting macroscopic oscillations. Collective phase equations describing macrosc…
Phase synchronization between collective rhythms of globally coupled oscillator groups: noiseless non-identical case
Yoji Kawamura, Hiroya Nakao, Kensuke Arai +2
Phase synchronization between collective oscillations exhibited by two weakly interacting groups of non-identical phase oscillators with internal and external global sinusoidal cou…
Phase synchronization between collective rhythms of globally coupled oscillator groups: noisy identical case
Yoji Kawamura, Hiroya Nakao, Kensuke Arai +2
We theoretically investigate collective phase synchronization between interacting groups of globally coupled noisy identical phase oscillators exhibiting macroscopic rhythms. Using…
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…