Bona fide stochastic resonance: A view point from stochastic energetics

Abstract

We investigate the resonance type behaviour of an overdamped Brownian particle in a bistable potential driven by external periodic signal. It has been shown previously that the input energy pumped into the system by the external drive shows resonance type behaviour as a function of noise strength. We further extend this idea to study the behaviour as a function of frequency of the external driving force and show the occurrence of similar nonmonotonic behaviour, which can be ascribed as a signature of bona fide stochastic resonance. Both weak and strong driving limits have been explored indicating the occurrence of marginal supra-threshold stochastic resonance in a bistable potential system. © 2004 Published by Elsevier B.V.