Title :
Anti-Synchronization Control and Stabilization of 3-dimension Discrete Hénon Map
Author :
Li, Yin ; Zheng, Chun-long
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.
Keywords :
discrete systems; numerical analysis; stability; 3D discrete henon map; 3D generalized henon map; antisynchronization control; antisynchronization scheme; high period orbit process; numeric simulation; stabilization; symbolic computation system Maple; unstable discrete system; Chaos; Control systems; Educational institutions; Jacobian matrices; Numerical simulation; Observers; Orbits; Anti-synchronization Control; H$acute{e}$non system; The stability theorem;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2012 Fifth International Workshop on
Conference_Location :
Dalian
Print_ISBN :
978-1-4673-2825-8
DOI :
10.1109/IWCFTA.2012.53