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

作　　者：李瑞红 徐伟 李爽 

机构地区：[1]Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China [2]Department of Applied Mathematics, Xidian University, Xi'an 710071, China

出　　处：《Chinese Physics B》2007年第6期1591-1596,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Grant Nos 10472091 and 1033203）.

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 fourdimensional 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.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 fourdimensional 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 

分 类 号：O23[理学—运筹学与控制论]