中国物理B ›› 2008, Vol. 17 ›› Issue (1): 98-104.doi: 10.1088/1674-1056/17/1/018

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A function cascade synchronization method with unknown parameters and applications

安红利, 陈勇   

  1. Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China\;Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China
  • 出版日期:2008-01-20 发布日期:2008-01-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10735030), Zhejiang Provincial Natural Science Foundations of China (Grant No Y604056), Doctoral Foundation of Ningbo City, China (Grant No 2005A61030) and Shanghai Leading Ac

A function cascade synchronization method with unknown parameters and applications

An Hong-Li(安红利)a)b) and Chen Yong(陈勇)a)b)†   

  1. a Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China; b Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China
  • Online:2008-01-20 Published:2008-01-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10735030), Zhejiang Provincial Natural Science Foundations of China (Grant No Y604056), Doctoral Foundation of Ningbo City, China (Grant No 2005A61030) and Shanghai Leading Ac

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摘要： This paper investigates the function cascade synchronization of chaos system. Combining cascade synchronization scheme, parametric adaptive control and projective synchronization scheme, it proposes a new function cascade synchronization scheme to address a generalized-type synchronization problem of three famous chaotic systems: the Lorenz system, Liu system and R\"{o}ssler system, the states of two identical chaotic systems with unknown parameters can be asymptotically synchronized by choosing different special suitable error functions. Numerical simulations are used to verify the effectiveness of the proposed synchronization techniques.

关键词: chaos, projective synchronization, function projective synchronization, cascade synchronization, adaptive control

Abstract: This paper investigates the function cascade synchronization of chaos system. Combining cascade synchronization scheme, parametric adaptive control and projective synchronization scheme, it proposes a new function cascade synchronization scheme to address a generalized-type synchronization problem of three famous chaotic systems: the Lorenz system, Liu system and Rössler system, the states of two identical chaotic systems with unknown parameters can be asymptotically synchronized by choosing different special suitable error functions. Numerical simulations are used to verify the effectiveness of the proposed synchronization techniques.

Key words: chaos, projective synchronization, function projective synchronization, cascade synchronization, adaptive control

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems)