Adaptive generalized synchronization between Chen system and a multi-scroll chaotic system

doi:10.1088/1674-1056/19/10/100503

中国物理B ›› 2010, Vol. 19 ›› Issue (10): 100503-100503.doi: 10.1088/1674-1056/19/10/100503

Adaptive generalized synchronization between Chen system and a multi-scroll chaotic system

谌龙, 史跃东, 王德石

Weaponry Engineering Department, Naval University of Engineering, Wuhan 430033, China

收稿日期:2010-03-11 修回日期:2010-03-27 出版日期:2010-10-15 发布日期:2010-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 50875259).

Adaptive generalized synchronization between Chen system and a multi-scroll chaotic system

Chen Long(谌龙)^†, Shi Yue-Dong(史跃东), and Wang De-Shi(王德石)

Weaponry Engineering Department, Naval University of Engineering, Wuhan 430033, China

Received:2010-03-11 Revised:2010-03-27 Online:2010-10-15 Published:2010-10-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 50875259).

摘要/Abstract

摘要： Based on Lyapunov theory, the adaptive generalized synchronization between Chen system and a multi-scroll chaotic system is investigated. According to the form of target function a proper adaptive controller is designed, by which the controlled Chen system can be synchronized with a multi-scroll chaotic system including unknown parameters. The Lyapunov direct method is exploited to prove that the synchronization error and parameter identification error both converge to zero. Numerical simulation results verify the feasibility of the proposed method further.

Abstract: Based on Lyapunov theory, the adaptive generalized synchronization between Chen system and a multi-scroll chaotic system is investigated. According to the form of target function a proper adaptive controller is designed, by which the controlled Chen system can be synchronized with a multi-scroll chaotic system including unknown parameters. The Lyapunov direct method is exploited to prove that the synchronization error and parameter identification error both converge to zero. Numerical simulation results verify the feasibility of the proposed method further.

Key words: Chen system, multi-scroll chaotic system, generalized synchronization

中图分类号: (Control theory)

02.30.Yy

05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems) 05.45.Xt (Synchronization; coupled oscillators)

谌龙, 史跃东, 王德石. Adaptive generalized synchronization between Chen system and a multi-scroll chaotic system[J]. 中国物理B, 2010, 19(10): 100503-100503.

Chen Long(谌龙), Shi Yue-Dong(史跃东), and Wang De-Shi(王德石). Adaptive generalized synchronization between Chen system and a multi-scroll chaotic system[J]. Chin. Phys. B, 2010, 19(10): 100503-100503.

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Adaptive generalized synchronization between Chen system and a multi-scroll chaotic system

Adaptive generalized synchronization between Chen system and a multi-scroll chaotic system

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