Low-dimensional dynamics of phase oscillators driven by Cauchy noise
Adaptation and Self-Organizing Systems
2020-11-04 v1
Abstract
Phase oscillator systems with global sine-coupling are known to exhibit low-dimensional dynamics. In this paper, such characteristics are extended to phase oscillator systems driven by Cauchy noise. The low-dimensional dynamics solution agreed well with the numerical simulations of noise-driven phase oscillators in the present study. The low-dimensional dynamics of identical oscillators with Cauchy noise coincided with those of heterogeneous oscillators with Cauchy-distributed natural frequencies. This allows for the study of noise-driven identical oscillator systems through heterogeneous oscillators without noise and vice versa.
Cite
@article{arxiv.2009.04273,
title = {Low-dimensional dynamics of phase oscillators driven by Cauchy noise},
author = {Takuma Tanaka},
journal= {arXiv preprint arXiv:2009.04273},
year = {2020}
}
Comments
12 pages, 2 figures