English

Phase reduction of stochastic limit cycle oscillators

Adaptation and Self-Organizing Systems 2009-11-13 v1

Abstract

We point out that the phase reduction of stochastic limit cycle oscillators has been done incorrectly in the literature. We present a correct phase reduction method for oscillators driven by weak external white Gaussian noises. Numerical evidence demonstrates that the present phase equation properly approximates the dynamics of the original full oscillator system.

Cite

@article{arxiv.0711.4653,
  title  = {Phase reduction of stochastic limit cycle oscillators},
  author = {Kazuyuki Yoshimura and Kenichi Arai},
  journal= {arXiv preprint arXiv:0711.4653},
  year   = {2009}
}

Comments

4 pages, 2 figures

R2 v1 2026-06-21T09:48:31.350Z