A new three-dimensional chaotic system and its modified generalized projective synchronization

被引:18
作者
Dai Hao [1 ]
Jia Li-Xin [1 ]
Hui Meng [1 ]
Si Gang-Quan [1 ]
机构
[1] Xi An Jiao Tong Univ, Sch Elect Engn, State Key Lab Elect Insulat & Power Equipment, Xian 710049, Peoples R China
关键词
chaotic system; generalized projective synchronization; Lyapunov stability theory; NONLINEAR FEEDBACK-CONTROL; ADAPTIVE SYNCHRONIZATION; ATTRACTOR;
D O I
10.1088/1674-1056/20/4/040507
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Based on the Chen chaotic system, this paper constructs a new three-dimensional chaotic system with higher order nonlinear term and studies the basic dynamic behaviours of the system. The modified generalized projective synchronization has been observed in the coupled new three-dimensional chaotic system with unknown parameters. Furthermore, based on Lyapunov stability theory, it obtains the control laws and adaptive laws of parameters to make modified generalized projective synchronization of the coupled new three-dimensional chaotic systems. Numerical simulation results are presented to illustrate the effectiveness of this method.
引用
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页数:10
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