Holder continuity of generalized synchronization of three bidirectionally coupled chaotic systems

被引：5
作者：
Hu, Aihua [1 ,2 ]
Xu, Zhenyuan [1 ]
Guo, Liuxiao [1 ]
机构：
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
[2] Jiangnan Univ, Sch Informat Technol, Wuxi 214122, Peoples R China
来源：
PHYSICS LETTERS A | 2009年 / 373卷 / 27-28期
基金：
中国国家自然科学基金;
关键词：
Generalized synchronization manifold; Holder continuity; Schauder fixed point; DYNAMICAL NETWORKS; NEURAL-NETWORKS;
D O I：
10.1016/j.physleta.2009.04.061
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This Letter studies the existence of Holder continuity of generalized synchronization (GS). The model considered here includes three bidirectionally coupled chaotic systems, two of them denote the driving systems, while the other stands for the response system. Based on the modified system approach, GS is classified into several types, and two kinds therein are investigated. By using the Schauder fixed point theorem, sufficient conditions for the existence of Holder continuous GS are derived and theoretically proved. In addition, numerical examples are given for verification. (C) 2009 Elsevier B.V. All rights reserved.
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页码：2319 / 2328
页数：10
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