Stochastic resonance in a stochastic bistable system

Abstract

Stochastic resonance (SR) in a bistable system is investigated in the presence of astochastic potential. The signal-to-noise ratio (SNR) is calculated by using the two-stateapproach. It is found that there exist transitions in SNR from one peak to twopeaks, then to one peak again and finally to no peak on increasing the intensity ofthe stochastic potential. An optimal stochastic potential may induce a doublystochastic resonance (DSR). When the intensity of the stochastic potential is toolarge, the effect of the double well diminishes and the SR phenomenon disappears.