Abstract
<abstract> The current paper is devoted to the dynamics of stochastic chaotic systems with fractional Brownian motion with $H\in(\frac{1}{2}, 1)$. The existence and uniqueness of the so-called stochastic Rössler-Lorenz system driven by fractional Brownian motion is established. Moreover, the stochastic synchronization of stochastic Rössler-Lorenz system is proved, and some numerical simulations are provided to verify the theoretical results. </abstract>
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