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Chin. Phys., 2007, Vol. 16(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

Xu Weia, Li Shuanga, Li Rui-Hongb
a Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China; b Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China sj 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.
Keywords:  Chen--Liao chaotic system      chaos control      RGS  
Received:  20 August 2006      Revised:  25 December 2006      Accepted manuscript online: 
PACS:  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  
  05.45.Xt (Synchronization; coupled oscillators)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos~10472091 and 1033203).

Cite this article: 

Li Rui-Hong, Xu Wei, Li Shuang Chaos control and reduced-order generalized synchronization for the Chen--Liao system 2007 Chin. Phys. 16 1591

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