A new four-dimensional hyperchaotic Chen system and its generalized synchronization

被引：17
作者：
Jia Li-Xin [1 ]
Dai Hao [1 ]
Hui Meng [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Elect Engn, State Key Lab Elect Insulat & Power Equipment, Xian 710049, Peoples R China
来源：
CHINESE PHYSICS B | 2010年 / 19卷 / 10期
关键词：
hyperchaotic Chen system; generalized synchronization; Lyapunov stability theory; CHAOTIC SYSTEMS; ATTRACTOR;
D O I：
10.1088/1674-1056/19/10/100501
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Based on the Chen chaotic system, a new four-dimensional hyperchaotic Chen system is constructed, and the basic dynamic behaviours of the system were studied, and the generalized synchronization has been observed in the coupled four-dimensional hyperchaotic Chen system with unknown parameters. The Routh-Hurwitz theorem is used to derive the conditions of stability of this system. Furthermore based on Lyapunov stability theory, the control laws and adaptive laws of parameters are obtained to make generalized synchronization of the coupled new four-dimensional hyperchaotic Chen systems. Numerical simulation results are presented to illustrate the effectiveness of this method.
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页数：11
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