Stochastic Resonance Control by Coupling Two Fractional Bistable Systems

Abstract

In order to enhance or produce stochastic resonance (SR), to obtain the required output response with specific properties, two bistable systems based on fractional over-damped Langevin equation are coupled into one multi-steady-state system via nonlinear method, one fractional bistable system where inherent parameters can be controlled is fed into the other system, the kinetic characteristics of the new coupled system is found much richer than each single fractional system. Theoretical analysis and numerical simulation results show that the SR can be enhanced or produced by adjusting parameters as coupling coefficient, fractional system inherent parameters as well as the external periodical signal amplitude while another fractional system’s parameters fixed. The coupled system has high practical value, which provides a reliable theoretical basis for the control and its applications of artificially generated stochastic resonance.