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arXiv · 1510.06973

A random dynamical systems perspective on stochastic resonance

Anna Maria Cherubini·Jeroen S. W. Lamb·Martin Rasmussen·Yuzuru Sato
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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.

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Anna Maria Cherubini, Jeroen S. W. Lamb, Martin Rasmussen, Yuzuru Sato. 2015-10-23. A random dynamical systems perspective on stochastic resonance. https://arxiv.org/abs/1510.06973

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