Stochastic Resonance in a Bistable Sawtooth Potential Driven by Correlated Multiplicative and Additive Noise

Abstract

We present an analytical investigation of the signal-to-noise ratio (SNR) by studying the bistable sawtooth system driven by correlated Gaussian white noise. The analytic expression of the SNR is obtained. We detect some novel results, as follows. (1) Stochastic resonance (SR) always occurs in the SNR-Q (the multiplicative noise intensity) curve for the whole range of correlation coefficients. (2) There is not only resonance but also suppression and monotony in the dependence of SNR upon the additive noise intensity. (3) There are two extrema (one is minimum, the other maximum) in the SNR-b (the barrier height) curve for different multiplicative noise intensities.