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This paper describes a method for the weak synchronization of chaotic systems with parameter mismatch by using periodically intermittent control. Because of the small parameter mismatch, the synchronization is not complete. Via intermittent control with periodically intervals, we can obtain the quasi-synchronization. Some sufficient conditions for the stabilization and quasi-synchronization of a large class of coupled chaotic systems will be derived by using Lyapunov stability theory. The analytical results are confirmed by numerical simulations.