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This paper focuses on anti-synchronization and synchronization of a stochastic multi-coupled chaotic system with ring connection and control schemes. First, the system is simplified by means of the formula deformation technique and the controller. Based on the Lyapunov method and stochastic differential theory, some sufficient conditions are obtained by some control methods. At last, the Chen system, Lorenz system, and Lü system with stochastic perturbations are used to verify the correctness of the conclusions.

Anti-Synchronization and Synchronization of Coupled Chaotic System With Ring Connection and Stochastic Perturbations