Abstract
A system based on the model of overdamped fractional Langevin equation is constructed, the relation between fractional order and stochastic resonance is studied, it is found that stochastic resonance phenomenon is not produced or not obvious with given certain weak periodic signal and noise intensity. Applying external periodic signal is proposed to produce or strengthen stochastic resonance. The numerical simulations show that the stochastic resonance phenomenon can be effectively controlled, by changing the external periodic signal’s frequency or amplitude. We find the non-monotonic behaviors between the driving parameters and signal-to-noise(SNR). Optimal stochastic resonance can be achieved by adjusting one of the parameters as frequency and amplitude.
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