A random dynamical systems perspective on stochastic resonance

A random dynamical systems perspective on stochastic resonance

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 attra...

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Veröffentlicht in:Nonlinearity 2017-07, Vol.30 (7), p.2835-2853
Hauptverfasser: Maria Cherubini, Anna, Lamb, Jeroen S W, Rasmussen, Martin, Sato, Yuzuru
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Markov measures
nonautonomous random dynamical systems
random attractors
stochastic resonance
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container_title Nonlinearity
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creator Maria Cherubini, Anna
Lamb, Jeroen S W
Rasmussen, Martin
Sato, Yuzuru
description 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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subjects Markov measures
nonautonomous random dynamical systems
random attractors
stochastic resonance
title A random dynamical systems perspective on stochastic resonance
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