198 citations · 646 across the 12 of their papers we have counts for
12 papers
Phase reduction and synchronization of a network of coupled dynamical elements exhibiting collective oscillations
Hiroya Nakao, Sho Yasui, Masashi Ota +2
A general phase reduction method for a network of coupled dynamical elements exhibiting collective oscillations, which is applicable to arbitrary networks of heterogeneous dynamica…
Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise
Shigefumi Hata, Kensuke Arai, Roberto F. Galán +1
We consider optimization of phase response curves for stochastic synchronization of non-interacting limit-cycle oscillators by common Poisson impulsive signals. The optimal functio…
Synchronization of uncoupled oscillators by common gamma impulses: from phase locking to noise-induced synchronization
Shigefumi Hata, Takeaki Shimokawa, Kensuke Arai +1
Nonlinear oscillators can mutually synchronize when they are driven by common external impulses. Two important scenarios are (i) synchronization resulting from phase locking of eac…
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…
Averaging approach to phase coherence of uncoupled limit-cycle oscillators receiving common random impulses
Kensuke Arai, Hiroya Nakao
Populations of uncoupled limit-cycle oscillators receiving common random impulses show various types of phase-coherent states, which are characterized by the distribution of phase…