含信号调制噪声和频率波动的时滞分数阶振子的随机共振OA北大核心CSTPCD

In this paper,stochastic resonance(SR)of time-delayed linear fractional oscillators subjected to both frequency-modulated and signal-modulated noises is investigated.By using the(fractional)Sha-piro-Loginov formula and Laplace transform technique,the analytical expression of the output amplitude gain(OAG)is firstly derived,and the dependence of OAG on the system parameters such as fractional order,time delay and the parameters of noises is explored.It is shown that every dependence is non-monotonic,say,generalized stochastic resonance(GSR)happens.Particularly,cooperation of fractional order and time delay may result in diverse GSR behaviors of the system.In other word,the GSR behav-iors can be controlled just by the system parameters.