Adaptive generalized synchronization of two nonidentical hyperchaotic systems with unknown parameters

This paper considers the generalized synchronization problems of two different hyperchaotic systems with unknown parameters. By denoting the synchronization error signals as the difference between the state variables of the drive system and the state variables of the response system, the hyperchaotic synchronization problem is transformed into the stabilization control problem of the origin of the synchronization error system. Based on the Lyapunov stability, a new adaptive synchronization controller is designed and the asymptotic stability of the origin of the synchronization error system is proved. simulation results illustrate the correctness of the proposed generalized synchronization method.