Generalized (complete, lag, anticipated) synchronization of discrete-time chaotic systems

A unify definition of generalized (complete, lag, anticipated) synchronization in discrete-time chaotic systems is proposed in this paper. Based on the contraction mapping theorem, a new general scheme is proposed for the generalized synchronization of discrete-time chaotic and hyper-chaotic systems. The well-known Hénon mapping and generalized hyper-chaotic Hénon mapping are chosen to illustrate the proposed scheme. Numerical simulations are also shown to verify the effectiveness of the proposed control method.