Stochastic Resonance of a Periodically Driven Bistable System with Two Different Kinds of Time Delays

摘要

In this paper,we study the phenomenon of stochastic resonance(SR)in a periodically driven bistablesystem with correlations between multiplicative and additive white noise terms when there are two different kinds oftime delays existed in the deterministic and fluctuating forces,respectively.Using the small time delay approximationand the theory of signal-to-noise ratio(SNR)in the adiabatic limit,the expression of SNR is obtained.The effects ofthe delay time γ in the deterministic force,and the delay time θ in the fluctuating force on SNR are discussed.Based onthe numerical computation,it is found that:(i)There appears a reentrant transition between one peak and two peaksand then to one peak again in the curve of SNR when the value of the time delay θ is increased,(ii)SR can be realizedby tuning the time delay γ or θ with fixed noise,i.e.,delay-induced stochastic resonance(DSR)exists.