Stochastic Resonance Induced by over Damped Fractional-order Langevin Equation

摘要

Based on the existing theory of Fractional-order integral and derivative, this study discussed stochastic resonance induced by over-damped Fractional-order Langevin equation. Firstly, Fractional-order Langevin equation under over damped condition is derived and then its physical significance is discussed and internal mechanism of stochastic resonance phenomenon induced by over damped fractional-order Langevin equation is presented. The following corresponding numerical experiments state that it is easy to achieve to stochastic resonance by adjusting parameters of fractional-order Langevin equation such as fractional-order, noise intensity, or bi-stable system parameters and that it can be used to detect the frequency of the weak signal. The result of this study has positive practical value in weak periodic signal recovery.