Cherubini, Anna Maria, Lamb, Jeroen, Rasmussen, Martin, Sato, Yuzuru, Engineering & Physical Science Research Council (EPSRC), Commission of the European Communities
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.
