STOCHASTIC LATTICE DYNAMICAL SYSTEMS WITH FRACTIONAL NOISE

This article studies stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter H is an element of (1/2; 1). First of all, we investigate the existence and uniqueness of pathwise mild solutions to such systems by the Young integration setting and prove that the solution generates a random dynamical system. Further, we analyze the exponential stability of the trivial solution.