Stochastic Resonance and Related Problems

Abstract

Dynamical systems perturbed by a noise of small intensity will be considered. I will show that such a noise can lead to (not random) stable, in a sence, equilibriums or periodic oscillations, which are absent in the non-perturbed system. These effects are a manifestation of the laws of large deviations for stochastic processes.   
Quasi-deterministic approximation of stochastically perturbed dynamical system, based on the large deviation theory, will be introduced. This approximation allows to describe the stochastic resonance spectrum in general situation.