A new hyperchaotic system and its linear feedback control

被引：15
作者：
Cai Guo-Liang [1 ]
Zheng Song [1 ]
Tian Li-Xin [1 ]
机构：
[1] Jiangsu Univ, Nonlinear Sci Res Ctr, Zhenjiang 212013, Peoples R China
来源：
CHINESE PHYSICS B | 2008年 / 17卷 / 11期
关键词：
hyperchaos; linear feedback control; Lyapunov exponents; bifurcation;
D O I：
10.1088/1674-1056/17/11/017
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper reports a new hyperchaotic system by adding an additional state variable into a three-dimensional chaotic dynamical system, studies some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponents, bifurcation diagram and the hyperchaotic attractor evolving into periodic, quasi-periodic dynamical behaviours by varying parameter k. Furthermore, effective linear feedback control method is used to suppress hyperchaos to unstable equilibrium, periodic orbits and quasi-periodic orbits. Numerical simulations are presented to show these results.
引用
收藏
页码：4039 / 4046
页数：8
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