Master-Slave Global Stochastic Synchronization of Chaotic Oscillators

We study global synchronization of coupled chaotic systems with random intermittent coupling. We use stochastic Lyapunov stability theory and partial averaging techniques to show that global synchronization is possible if the switching period is sufficiently small and if the oscillators globally synchronize under a time-averaged coupling. We study mean square and almost sure global synchronization, and we determine quantitative bounds for the exponential rate of decay of the synchronization error. We focus on master-slave synchronization, where two dynamical systems are coupled via a directed feedback that randomly switches among a finite set of given constant functions at a prescribed time rate. We apply the proposed approach to the synchronization of Chua circuits.