具阻尼涨落的时滞分数阶耦合谐振子系统的随机共振OA

In this paper,the stochastic resonance(SR)in a coupled fractional harmonic oscillators system with fluctuating damping is investigated in the presence of time-delay.By using the small delay approximation and stochastic averaging methods,the complete synchronization of the oscillators is obtained,which allows us to study the dynamical behaviors of mean-field of system through the dynamical behaviors of individual os-cillator.Analytic expression for the output amplitude gain(OAG)of the mean-field is obtained.By using OAG as the measure,the effects of noise,time-delay,coupling,fractional order and driving force on the SR of system are addressed.The main results are as follows.(i)There are non-monotonic dependences of OAG on the noise intensity,the driving frequency and the noise correlation rate,which indicates the presence of generalized stochastic resonance(GSR).(ii)The cooperation of time-delay,fractional order and coupling strength can not only induce diverse GSR behaviors,but also enhance the SR of system.