Function projective synchronization in discrete-time chaotic system with uncertain parameters

The function projective synchronization of discrete-time chaotic systems is presented. Based on backstepping design with three controllers, a systematic, concrete and automatic scheme is developed to investigate function projective synchronization (FPS) of discrete-time chaotic systems with uncertain parameters. With the aid of symbolic-numeric computation, we use the proposed scheme to illustrate FPS between two identical 3D Hénon-like maps with uncertain parameters. Numeric simulations are used to verify the effectiveness of our scheme.