FREQUENCY-SENSITIVE STOCHASTIC RESONANCE IN PERIODICALLY FORCED AND GLOBALLY COUPLED SYSTEMS

A model of globally coupled bistable systems consisting of two kinds o f sites, subject to periodic driving and spatially uncorrelated stocha stic force, is investigated. The extended system models the competing process of activators and suppressers. Analytical computations for lin ear response of the system to the external periodic forcing is carried out. Noise-induced Hopf bifurcation is revealed, and stochastic reson ance, sensitively depending on the frequency of the external forcing, is predicted under the Hopf bifurcation condition. Numerical simulatio ns agree with the analytical predictions satisfactorily.