Generalized projective synchronization of different chaotic systems based on antisymmetric structure

Abstract The problem of generalized projective synchronization of different chaotic systems is investigated. By using the direct design method, a controller is designed to transform the error system into a nonlinear system with the special antisymmetric structure. The sufficient stability conditions are presented for such systems. Then the state of error system is asymptotically stable at the origin. That is to say, the generalized projective synchronization between response system and drive system is realized. Finally, the corresponding numerical simulation results demonstrate the effectiveness of the proposed schemes.

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