Holder continuity of three types of generalized synchronization manifolds of non-autonomous systems

被引：4
|
作者：
Hu, Ai-Hua [1 ,2 ]
Xu, Zhen-Yuan [1 ]
Guo, Liu-Xiao [1 ]
机构：
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Jiangsu, Peoples R China
[2] Jiangnan Univ, Sch Informat Technol, Wuxi 214122, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Generalized synchronization manifold; Holder continuity; Schauder fixed point; MULTISCROLL CHAOTIC ATTRACTORS; DYNAMICAL NETWORKS;
D O I：
10.1016/j.na.2009.04.068
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the existence of Holder continuity of the generalized synchronization (GS) manifold. When the modified response system has an asymptotically stable equilibrium, periodic or quasi-periodic orbit, and chaotic attractor, GS is classified into four types accordingly. The first three types of GS are considered, and based on the Schauder fixed point theorem, sufficient conditions for Holder continuous GS in the coupled non-autonomous systems are derived and theoretically proved. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：5994 / 6000
页数：7
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