Stochastic synchronization via noise recycling

Abstract

The nonequilibrium escape dynamics in a bistable system under the influence of two Gaussian noises, one obtained by recycling, the other with a constant delay time, is shown by numerical simulation to exhibit stochastic synchronization; i.e., under stationary conditions, an appreciable fraction of renewal trajectories gets locked to the noise-recycling delay time. The conditions for optimal synchronization, reminiscent of stochastic resonance, are interpreted at any order within the framework of Kramers' theory.