Stochastic Resonance in a Time-Delayed Bistable System Driven by Square-Wave Signal

Stochastic resonance in a time-delayed bistable system subject to asymmetric dichotomous noise and multiplicative and additive white noise is investigated. Using small time delay approximation, we obtain the expression of the signal-to-noise ratio (SNR). It is found that the SNR is a non-monotonic function of the delayed times, of the amplitude of the input square-wave signal, as well as of the asymmetry of the dichotomous noise. In addition, the SNR varies non-monotonously with the system parameters, with the intensities of the multiplicative and additive noise, as well as with the correlate rate of the dichotomous noise.