Anti-Synchronization Control and Stabilization of 3-dimension Discrete Hénon Map

Abstract

In this paper, we study general anti-synchronization control and stabilization of 3-dimension discrete h-enon map by symbolic computation system Maple and control method, the 3D generalized H-enon map is stabilized to fixed points. In stabilizing unstable discrete systems to a fixed point or high-period orbit process, we require no a prior analytical knowledge of the system under investigation, nor any additional control parameters. And we also use general anti-synchronization scheme to illustrate the controllable scheme of 3D H-enon maps. Numeric simulations are used to verify the effectiveness of our scheme.