Narrow Results

Anti-synchronization between different hyperchaotic systems is presented using the Chen and a new system. When the parameters of two systems are known, one can apply active synchronization method. When the parameters are unknown or uncertain, one can apply adaptive synchronization method. The simulation results verify the effectiveness of the proposed two schemes.

In this paper, a generalized (lag, anticipated and complete) projective synchronization for a general class of chaotic systems is defined. A systematic, powerful and concrete scheme is developed to investigate the generalized (lag, anticipated and complete) projective synchronization between the drive system and response system based on the adaptive control method and feedback control approach. The hyperchaotic Chen system and hyperchaotic Lorenz system are chosen to illustrate the proposed scheme. Numerical simulations are provided to show the effectiveness of the proposed schemes. In addition, the scheme can also be extended to research generalized (lag, anticipated and complete) projective synchronization between nonidentical discrete-time chaotic systems.