Stochastic resonance in a time-delayed asymmetric mono-stable system modulated by periodic rectangular signal

Abstract

We investigated the stochastic resonance of the time-delayed mono-stable system modulated by periodic rectangular signal and Gaussian white noises. The expression of signal-to-noise ratio (SNR) is obtained, and the stochastic resonance phenomenon is found in this system. The study shows that the effects of multiplicative and white noise intensity on the SNR are different. In the SNR-D plot, the phenomenon of resonance and suppression exists together. When the value of the bias of system |r| is bigger or the ratio of multiplicative and white noise intensity D/ is less than 1, the stochastic resonance phenomena in the SNR- plots disappear.