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Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise

Authors :
Hiroya Nakao
Denis S. Goldobin
Jun-nosuke Teramae
Yoshiki Kuramoto
Publication Year :
2010
Publisher :
arXiv, 2010.

Abstract

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 drift and diffusion coefficients are given in terms of the phase sensitivity of the oscillator and the correlation function of the noise, and are explicitly calculated for oscillators with sinusoidal phase sensitivity functions driven by two typical colored Gaussian processes. The results are verified by numerical simulations using several types of stochastic or chaotic noise. The drift and diffusion coefficients of oscillators driven by chaotic noise exhibit anomalous dependence on the oscillator frequency, reflecting the peculiar power spectrum of the chaotic noise.<br />Comment: 16 pages, 6 figures

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....c1439e594d9eea497a52fb0f224ec55d
Full Text :
https://doi.org/10.48550/arxiv.1005.4765