Boundedness and synchronization of y-coupled Lorenz systems with or without controllers

被引:42
作者
Liu, Xiwei [1 ]
Chen, Tianping [1 ]
机构
[1] Fudan Univ, Inst Math, Lab Nonlinear Math Sci, Shanghai 200433, Peoples R China
基金
中国国家自然科学基金;
关键词
boundedness; synchronization; y-coupled Lorenz systems;
D O I
10.1016/j.physd.2007.10.006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of this paper is to investigate the boundedness and synchronization of y-coupled Lorenz systems. When the coupling term is only added to the second variable, we call them y-coupled Lorenz systems. In this paper, we first prove the boundedness of y-coupled Lorenz systems, which ensures the existence and uniqueness of the solution when t -> infinity. Based on the boundedness, we prove that for y-coupled Lorenz systems, QUAD condition is satisfied. It should be pointed out that QUAD condition plays an essential role in the discussion of synchronization. Based on the boundedness and QUAD condition, we prove that if the coupling is strong enough, the y-coupled Lorenz systems can achieve the complete synchronization globally and exponentially. (c) 2007 Elsevier B. V. All rights reserved.
引用
收藏
页码:630 / 639
页数:10
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