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BIRS Workshop Lecture Videos

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


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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