中国物理B ›› 2007, Vol. 16 ›› Issue (6): 1591-1596.doi: 10.1088/1009-1963/16/6/017

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Chaos control and reduced-order generalized synchronization for the Chen--Liao system

徐伟1, 李爽1, 李瑞红2   

  1. (1)Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China; (2)Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China sj b) Department of Applied Mathematics, Xidian University, Xi'an 710071, China
  • 收稿日期:2006-08-20 修回日期:2006-12-25 出版日期:2007-06-20 发布日期:2007-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos~10472091 and 1033203).

Chaos control and reduced-order generalized synchronization for the Chen--Liao system

Li Rui-Hong(李瑞红)a)b)† , Xu Wei(徐伟)a), and Li Shuang(李爽)a)   

  1. a Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China; b Department of Applied Mathematics, Xidian University, Xi'an 710071, China
  • Received:2006-08-20 Revised:2006-12-25 Online:2007-06-20 Published:2007-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos~10472091 and 1033203).

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摘要： This paper deals with the problem of chaos control and synchronization of the Chen--Liao system. From rigorous mathematic justification, the chaotic trajectories of the Chen--Liao system are led to a type of points whose four-dimensional coordinates have a particular functional relation among them. Meanwhile, a new synchronization manner, reduced-order generalized synchronization (RGS), is proposed which has the characteristic of having a functional relation between the slave and the partial master systems. It is shown that this new synchronization phenomenon can be realized by a novel technique. Numerical simulations have verified the effectiveness of the proposed scheme.

关键词: Chen--Liao chaotic system, chaos control, RGS

Abstract: This paper deals with the problem of chaos control and synchronization of the Chen--Liao system. From rigorous mathematic justification, the chaotic trajectories of the Chen--Liao system are led to a type of points whose four-dimensional coordinates have a particular functional relation among them. Meanwhile, a new synchronization manner, reduced-order generalized synchronization (RGS), is proposed which has the characteristic of having a functional relation between the slave and the partial master systems. It is shown that this new synchronization phenomenon can be realized by a novel technique. Numerical simulations have verified the effectiveness of the proposed scheme.

Key words: Chen--Liao chaotic system, chaos control, RGS

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

  • 05.45.Gg
05.45.Pq (Numerical simulations of chaotic systems) 05.45.Xt (Synchronization; coupled oscillators)