Function projective synchronization of discrete-time chaotic and hyperchaotic systems using backstepping method

In this paper, a function projective synchronization scheme is developed to investigate the function projective synchronization between the discrete-time driven chaotic system and the discrete-time response chaotic system. With the aid of symbolic-numeric computation, we use the scheme to study the function projective synchronization between 2D Lorenz discrete-time system and Hénon discrete-time system, as well as that between 3D discrete-time hyperchaotic system and Hénon-like map via three scalar controllers, respectively. Moreover numerical simulations are used to verify the effectiveness of the proposed scheme. © 2008 Chinese Physical Society.