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This paper is devoted to the synchronization of stochastic differentialequations driven by the linear multiplicative fractional Brownian motion withHurst parameter $H\in(\frac{1}{2},1)$. We firstly prove that the equation has aunique stationary solution which generates a random dynamical system. Moreoverthe system has the pathwise singleton sets random attractor. Next we show upthe synchronization of solutions of two coupled differential equations. At theend, we discuss two specific situations and provide the correspondingsynchronization results.

Synchronization of Differential Equations Driven by Linear Multiplicative Fractional Brownian Motion