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

We investigate 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 intensily and white noise intensity on SNR are different. In the SNR-D plot, the phenomena of resonance and suppression coexist. When the value of the bias of system |r| is bigger or the ratio of multiplicative intensily to white noise intensity D/α is less than 1, the stochastic resonance phenomenon in the SNR-τ plots disappears.