中国物理B ›› 2005, Vol. 14 ›› Issue (9): 1755-1759.doi: 10.1088/1009-1963/14/9/011

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Adaptive synchronization of a critical chaotic system

陆君安1, 涂俐兰2   

  1. (1)School of Mathematics & Statistics, Wuhan University,Wuhan 430072, China; (2)School of Mathematics & Statistics, Wuhan University,Wuhan 430072, China;College of Science, Wuhan University of Science and Technology, Wuhan 430081, China
  • 收稿日期:2004-12-10 修回日期:2005-05-18 出版日期:2005-09-20 发布日期:2005-09-20
  • 基金资助:
    Project supported by the State Key Development Program for Basic Research of China (Grant No 2003CB415200).

Adaptive synchronization of a critical chaotic system

Tu Li-Lan (涂俐兰)ab, Lu Jun-Ana   

  1. a School of Mathematics & Statistics, Wuhan University, Wuhan 430072, China; b College of Science, Wuhan University of Science and Technology, Wuhan 430081, China
  • Received:2004-12-10 Revised:2005-05-18 Online:2005-09-20 Published:2005-09-20
  • Supported by:
    Project supported by the State Key Development Program for Basic Research of China (Grant No 2003CB415200).

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摘要： This paper further investigates the synchronization problem of a new chaotic system with known or unknown system parameters. Based on the Lyapunov stability theory, a novel adaptive control law is derived for the synchronization of a new chaotic system with known or unknown system parameters. Theoretical analysis and numerical simulations show the effectiveness and feasibility of the proposed schemes.

关键词: adaptive synchronization, a critical chaotic system, Lyapunov stability theory, Barbalat's lemma

Abstract: This paper further investigates the synchronization problem of a new chaotic system with known or unknown system parameters. Based on the Lyapunov stability theory, a novel adaptive control law is derived for the synchronization of a new chaotic system with known or unknown system parameters. Theoretical analysis and numerical simulations show the effectiveness and feasibility of the proposed schemes.

Key words: adaptive synchronization, a critical chaotic system, Lyapunov stability theory, Barbalat's lemma

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
02.60.Cb (Numerical simulation; solution of equations)