A kind of modified generalized synchronization of chaotic systems

This paper investigates a kind of modified generalized synchronization of uncertain chaotic systems using adaptive controller. In comparison with those of the existing generalized synchronization, we assume that the difference between the drive system and the response system converge asymptotically to a function of time, and the function of time can be identified by adaptive laws. This adaptive feature of the function of time could be more convenient in application to secure communications. Based on Lyapunov stability theorem, the adaptive control law is derived to make the state of two chaotic systems generalized synchronized. Some numerical are also given to show the effectiveness of the proposed method.