Stochastic resonance induced by the memory of a random delay

We study the stochastic resonance (SR) induced by the memory of a random delay in a bistable system driven by a periodic force. Resorting to numerical simulations, we first analyze the stochastic bifurcation diagram and find that the jump of a Brownian particle between two potential wells becomes regular and exhibits strong periodicity at some optimal noise level. On the other hand, from the viewpoint of signal-to-noise ratio (SNR) theory, we find that the SNR curves vary non-monotonically and behave as an obvious SR phenomenon. Moreover, the parameter-tuning stochastic resonances about the system parameters are also investigated in this paper.