Abstract: α stable noise with monostable system was combined to investigate the stochastic resonance of the asymmetric monostable with time delay or not driven by different stable noise. The numerical simulation study shows that the stochastic resonance exists not only in the asymmetric monostable system but also in the time-delayed asymmetric monostable system. The effects of the stability index α (0<α≤2) and symmetric parameter β(-1≤β≤1) of α stable noise, the monostable system parameter α, the amplification factor D of multiplicative stable noise, the asymmetry parameter r and the time delay on the signal-to-noise ratio gain of the system were explored.

Key words: α, stable noise, time delay, asymmetric monostable stochastic resonance, signal-to-noise ratio gain