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arXiv 2015-10-23 0 views

A random dynamical systems perspective on stochastic resonance

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

Original · EN

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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