198 citations · 299 across the 2 of their papers we have counts for
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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…
Collective Phase Sensitivity
Yoji Kawamura, Hiroya Nakao, Kensuke Arai +2
The collective phase response to a macroscopic external perturbation of a population of interacting nonlinear elements exhibiting collective oscillations is formulated for the case…
Phase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses
Kensuke Arai, Hiroya Nakao
An ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses shows a range of non-trivial behavior, from synchronization, desynchronization, to clustering. Th…
Noise-Induced Synchronization and Clustering in Ensembles of Uncoupled Limit-Cycle Oscillators
Hiroya Nakao, Kensuke Arai, Yoji Kawamura
We study synchronization properties of general uncoupled limit-cycle oscillators driven by common and independent Gaussian white noises. Using phase reduction and averaging methods…
Reproducibility of a noisy limit-cycle oscillator induced by a fluctuating input
Hiroya Nakao, Ken Nagai, Kensuke Arai
Reproducibility of a noisy limit-cycle oscillator driven by a random piecewise constant signal is analyzed. By reducing the model to random phase maps, it is shown that the reprodu…
Synchrony of limit-cycle oscillators induced by random external impulses
H. Nakao, K. Arai, K. Nagai +2
The mechanism of phase synchronization between uncoupled limit-cycle oscillators induced by common external impulsive forcing is analyzed. By reducing the dynamics of the oscillato…