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BIRS Workshop Lecture Videos

Attractors for nonautonomous random dynamical systems with an application to stochastic resonance Cherubini, Anna Maria

Description

We consider random dynamical systems with nonautonomous deterministic forcing and pro- vide existence results for nonautonomous random attractors. In particular, we prove the existence of an attracting random periodic orbit for a class of one-dimensional random dynamical systems with a time-periodic forcing, generalising results obtained by Hans Crauel and Franco Flandoli. As an application, we study a standard model for the stochastic resonance in this framework,given by the one-dimensional ‘overdamped’ approximation of the stochastic Du\0ng oscillator. (Joint work with J.S.W. Lamb, M. Rasmussen and Y. Sato.)\r\n

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