Synchronization for a Class of Chaotic Systems

This paper deals with the synchronization of a class of chaotic systems based on the Lyapunov stability theory. The class of systems considered in this paper has an unknown nonlinear function. We realize not only the identical synchronization but also the generalized synchronization between the drive system and the response system. To demonstrate the effectiveness of this scheme we present numerical simulations of the Duffing and Arnedo chaotic systems.