Controlling and synchronization of a hyperchaotic system based on passive control

doi:10.1088/1674-1056/21/9/090509

中国物理B ›› 2012, Vol. 21 ›› Issue (9): 90509-090509.doi: 10.1088/1674-1056/21/9/090509

Controlling and synchronization of a hyperchaotic system based on passive control

朱大锐, 刘崇新, 燕并男

State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2012-02-16 修回日期:2012-03-15 出版日期:2012-08-01 发布日期:2012-08-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 51177117) and the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20100201110023).

Controlling and synchronization of a hyperchaotic system based on passive control

Zhu Da-Rui (朱大锐), Liu Chong-Xin (刘崇新), Yan Bing-Nan (燕并男)

State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China

Received:2012-02-16 Revised:2012-03-15 Online:2012-08-01 Published:2012-08-01
Contact: Zhu Da-Rui E-mail:zdarui@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 51177117) and the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20100201110023).

摘要/Abstract

摘要： In this paper, a new hyperchaotic system is proposed, and the basic properties of this system are analyzed by means of equilibrium point, Poincaré map, bifurcation diagram, and Lyapunov exponents. Based on the passivity theory, the controllers are designed to achieve the new hyperchaotic system globally, asymptotically stabilized at the equilibrium point, and also realize the synchronization between the two hyperchaotic systems under different initial values respectively. Finally, the numerical simulation results show that the proposed control and synchronization schemes are effective.

关键词: hyperchaotic system, bifurcation diagram, Lyapunov exponent, passivity theory

Abstract: In this paper, a new hyperchaotic system is proposed, and the basic properties of this system are analyzed by means of equilibrium point, Poincaré map, bifurcation diagram, and Lyapunov exponents. Based on the passivity theory, the controllers are designed to achieve the new hyperchaotic system globally, asymptotically stabilized at the equilibrium point, and also realize the synchronization between the two hyperchaotic systems under different initial values respectively. Finally, the numerical simulation results show that the proposed control and synchronization schemes are effective.

Key words: hyperchaotic system, bifurcation diagram, Lyapunov exponent, passivity theory

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Gg (Control of chaos, applications of chaos)

朱大锐, 刘崇新, 燕并男. Controlling and synchronization of a hyperchaotic system based on passive control[J]. 中国物理B, 2012, 21(9): 90509-090509.

Zhu Da-Rui (朱大锐), Liu Chong-Xin (刘崇新), Yan Bing-Nan (燕并男). Controlling and synchronization of a hyperchaotic system based on passive control[J]. Chin. Phys. B, 2012, 21(9): 90509-090509.

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Controlling and synchronization of a hyperchaotic system based on passive control

Controlling and synchronization of a hyperchaotic system based on passive control

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