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)
a Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China; b Department of Applied Mathematics, Xidian University, Xi'an 710071, China
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.
Received: 20 August 2006
Revised: 25 December 2006
Accepted manuscript online:
Fund: Project supported by the National Natural
Science Foundation of China (Grant Nos~10472091 and
1033203).
Cite this article:
Li Rui-Hong(李瑞红), Xu Wei(徐伟), and Li Shuang(李爽) Chaos control and reduced-order generalized synchronization for the Chen--Liao system 2007 Chinese Physics 16 1591
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