A random dynamical systems perspective on stochastic resonance
Dynamical Systems
2015-10-26 v1
Abstract
We study stochastic resonance in an over-damped approximation of the stochastic Duffing oscillator from a random dynamical systems point of view. We analyse this problem in the general framework of random dynamical systems with a nonautonomous forcing. We prove the existence of a unique global attracting random periodic orbit and a stationary periodic measure. We use the stationary periodic measure to define an indicator for the stochastic resonance.
Cite
@article{arxiv.1510.06973,
title = {A random dynamical systems perspective on stochastic resonance},
author = {Anna Maria Cherubini and Jeroen S. W. Lamb and Martin Rasmussen and Yuzuru Sato},
journal= {arXiv preprint arXiv:1510.06973},
year = {2015}
}