Stochastic resonance and noise-induced phase coherence

Abstract

We prove a close relation between stochastic resonance and the phenomenon of noise-induced synchronization. The method proceeds by assigning instantaneous phases to input and output signals and by reformulating the rates of the standard two-state system in terms of the input-output phase difference. We are able to analytically derive criteria for noise-induced frequency and effective phase locking. The implications of both phenomena for stochastic resonance are discussed.