Intrawell stochastic resonance of bistable system

In this paper, we describe application of a single-well approximation to a bistable system. Based on this approximation, the relationship between system response speed and steady state variance is obtained. It becomes possible to determine the performance of stochastic resonance (SR) systems by a single measure, the signal-to-noise ratio (SNR) gain. The peaking phenomenon of SNR gain can be found in the single-well-approximated bistable system with the excitation of Gaussian white noise via changing system response speed or sampling period. The mechanisms of some SR phenomena are then discussed, including intrawell SR, parameter-induced SR.