Adaptive synchronization of hyperchaotic Lü system with uncertainty

doi:10.1088/1009-1963/16/3/018

中国物理B ›› 2007, Vol. 16 ›› Issue (3): 666-670.doi: 10.1088/1009-1963/16/3/018

Adaptive synchronization of hyperchaotic Lü system with uncertainty

陆君安¹, 高秉建²

(1)School of Mathematics & Statistics, Wuhan University, Wuhan 430072, China; (2)School of Mathematics & Statistics, Wuhan University, Wuhan 430072, China;School of Science, Wuhan University of Technology, Wuhan 430070, China

修回日期:2006-09-12 出版日期:2007-03-20 发布日期:2007-03-20
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 60574045).

Adaptive synchronization of hyperchaotic Lü system with uncertainty

Gao Bing-Jian(高秉建)^a)b)^† and Lu Jun-An(陆君安)^a)

^a School of Mathematics & Statistics, Wuhan University, Wuhan 430072, China; ^b School of Science, Wuhan University of Technology, Wuhan 430070, China

Revised:2006-09-12 Online:2007-03-20 Published:2007-03-20
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 60574045).

摘要/Abstract

摘要： This paper presents a novel adaptive control scheme for synchronization of the latest hyperchaotic Lü system. Based on the Lyapunov stability theory, a feedback controller and a parameter update law are designed for the synchronization of hyperchaotic L\"{u} systems with uncertainty. Numerical simulations are given to demonstrate the validity of the synchronization technique.

关键词: synchronization, parameter identification, hyperchaotic Lü system

Abstract: This paper presents a novel adaptive control scheme for synchronization of the latest hyperchaotic Lü system. Based on the Lyapunov stability theory, a feedback controller and a parameter update law are designed for the synchronization of hyperchaotic Lü systems with uncertainty. Numerical simulations are given to demonstrate the validity of the synchronization technique.

Key words: synchronization, parameter identification, hyperchaotic Lü system

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

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

高秉建, 陆君安. Adaptive synchronization of hyperchaotic Lü system with uncertainty[J]. 中国物理B, 2007, 16(3): 666-670.

Gao Bing-Jian(高秉建) and Lu Jun-An(陆君安). Adaptive synchronization of hyperchaotic Lü system with uncertainty[J]. Chinese Physics, 2007, 16(3): 666-670.

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Adaptive synchronization of hyperchaotic Lü system with uncertainty

Adaptive synchronization of hyperchaotic Lü system with uncertainty

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