Bootstrapping the Stochastic Resonance

Abstract

Stochastic resonance is a phenomenon where a noise of appropriate intensity enhances the input signal strength. In this work, by employing the recently developed convex optimization methods in the context of dynamical systems and stochastic processes, we derive rigorous two-sided bounds on the expected power at the input signal frequency for the prototypical example of stochastic resonance, the double-well potential with periodic forcing and Gaussian white noise.