An analytical proof for synchronization of stochastic phase oscillator
Dynamical Systems
2018-01-10 v1
Abstract
In this paper, we show that under a generic condition of the coefficient of a stochastic phase oscillator the Lyapunov exponent of the linearization along an arbitrary solution is always negative. Consequently, the generated random dynamical system exhibits a synchronization.
Cite
@article{arxiv.1801.02761,
title = {An analytical proof for synchronization of stochastic phase oscillator},
author = {Y. Sato and T. S. Doan and N. T. The and H. T. Tuan},
journal= {arXiv preprint arXiv:1801.02761},
year = {2018}
}