Synchronizationlike phenomena in coupled stochastic bistable systems

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Abstract
A model of two coupled bistable systems driven by independent noise sources is considered. The cases of mutual coupling as well as one-directional coupling are investigated. We find that in such stochastic systems effects similar to synchronization phenomena in classical oscillating systems can be observed. It is shown that when the strength of coupling achieves some critical value then the stochastic processes in the subsystems become coherent. The appearance of coherence corresponds to the bifurcation in the two-dimensional stationary probability density. Moreover, the effect of coincidence of the Kramers frequencies in the subsystems can be observed. The latter is similar to the synchronization via frequency locking in classical oscillating systems.