Convergence Rate of Synchronization of Coupled Stochastic Lattice Systems with Additive Fractional Noise.

This paper is devoted to the synchronization of stochastic lattice dynamical systems driven by fractional Brownian motion with Hurst parameter 1 2 < H < 1 . We first prove that the synchronization of any two solutions occurs and then we also show that the synchronization of any two components of solutions of the coupled stochastic lattice dynamical systems occurs. Moreover, the convergence rate of synchronization is obtained. [ABSTRACT FROM AUTHOR]