中国物理B ›› 2008, Vol. 17 ›› Issue (10): 3603-3608.doi: 10.1088/1674-1056/17/10/012

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Adaptive generalized functional synchronization of chaotic systems with unknown parameters

王东风, 韩 璞   

  1. School of Control Science and Engineering, North China Electric Power University, Baoding 071003, China
  • 收稿日期:2007-12-29 修回日期:2008-01-22 出版日期:2008-10-20 发布日期:2008-10-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 50677021), partially by the Key Project Foundation of North China Electric Power University (Grant No 20041306) and by the Scientific Research Foundation for the Returned Overseas Chinese Scholar, NCEPU (Grant No 200814002).

Adaptive generalized functional synchronization of chaotic systems with unknown parameters

Wang Dong-Feng(王东风)† and Han Pu(韩璞)   

  1. School of Control Science and Engineering, North China Electric Power University, Baoding 071003, China
  • Received:2007-12-29 Revised:2008-01-22 Online:2008-10-20 Published:2008-10-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 50677021), partially by the Key Project Foundation of North China Electric Power University (Grant No 20041306) and by the Scientific Research Foundation for the Returned Overseas Chinese Scholar, NCEPU (Grant No 200814002).

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摘要： A universal adaptive generalized functional synchronization approach to any two different or identical chaotic systems with unknown parameters is proposed, based on a unified mathematical expression of a large class of chaotic system. Self-adaptive parameter law and control law are given in the form of a theorem. The synchronization between the three-dimensional R\"{o}ssler chaotic system and the four-dimensional Chen's hyper-chaotic system is studied as an example for illustration. The computer simulation results demonstrate the feasibility of the method proposed.

关键词: chaotic system, adaptive synchronization, generalized synchronization, functional synchronization

Abstract: A universal adaptive generalized functional synchronization approach to any two different or identical chaotic systems with unknown parameters is proposed, based on a unified mathematical expression of a large class of chaotic system. Self-adaptive parameter law and control law are given in the form of a theorem. The synchronization between the three-dimensional Rössler chaotic system and the four-dimensional Chen's hyper-chaotic system is studied as an example for illustration. The computer simulation results demonstrate the feasibility of the method proposed.

Key words: chaotic system, adaptive synchronization, generalized synchronization, functional synchronization

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.Xt (Synchronization; coupled oscillators) 05.45.Jn (High-dimensional chaos)