Combination-Combination Synchronization of Four Nonlinear Complex Chaotic Systems

This paper investigates the combination-combination synchronization of four nonlinear complex chaotic systems. Based on the Lyapunov stability theory, corresponding controllers to achieve combination-combination synchronization among four different nonlinear complex chaotic systems are derived. The...

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Main Authors:	Xiaobing Zhou, Lianglin Xiong, Xiaomei Cai
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2014/953265

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spelling	doaj-af14f3f8426d4be5b7388ef51740b8d22020-11-24T23:11:57ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/953265953265Combination-Combination Synchronization of Four Nonlinear Complex Chaotic SystemsXiaobing Zhou0Lianglin Xiong1Xiaomei Cai2School of Information Science and Engineering, Yunnan University, Kunming 650091, ChinaSchool of Mathematics and Computer Science, Yunnan University of Nationalities, Kunming 650031, ChinaBureau of Asset Management, Yunnan University, Kunming 650091, ChinaThis paper investigates the combination-combination synchronization of four nonlinear complex chaotic systems. Based on the Lyapunov stability theory, corresponding controllers to achieve combination-combination synchronization among four different nonlinear complex chaotic systems are derived. The special cases, such as combination synchronization and projective synchronization, are studied as well. Numerical simulations are given to illustrate the theoretical analysis.http://dx.doi.org/10.1155/2014/953265
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Xiaobing Zhou Lianglin Xiong Xiaomei Cai
spellingShingle	Xiaobing Zhou Lianglin Xiong Xiaomei Cai Combination-Combination Synchronization of Four Nonlinear Complex Chaotic Systems Abstract and Applied Analysis
author_facet	Xiaobing Zhou Lianglin Xiong Xiaomei Cai
author_sort	Xiaobing Zhou
title	Combination-Combination Synchronization of Four Nonlinear Complex Chaotic Systems
title_short	Combination-Combination Synchronization of Four Nonlinear Complex Chaotic Systems
title_full	Combination-Combination Synchronization of Four Nonlinear Complex Chaotic Systems
title_fullStr	Combination-Combination Synchronization of Four Nonlinear Complex Chaotic Systems
title_full_unstemmed	Combination-Combination Synchronization of Four Nonlinear Complex Chaotic Systems
title_sort	combination-combination synchronization of four nonlinear complex chaotic systems
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2014-01-01
description	This paper investigates the combination-combination synchronization of four nonlinear complex chaotic systems. Based on the Lyapunov stability theory, corresponding controllers to achieve combination-combination synchronization among four different nonlinear complex chaotic systems are derived. The special cases, such as combination synchronization and projective synchronization, are studied as well. Numerical simulations are given to illustrate the theoretical analysis.
url	http://dx.doi.org/10.1155/2014/953265
work_keys_str_mv	AT xiaobingzhou combinationcombinationsynchronizationoffournonlinearcomplexchaoticsystems AT lianglinxiong combinationcombinationsynchronizationoffournonlinearcomplexchaoticsystems AT xiaomeicai combinationcombinationsynchronizationoffournonlinearcomplexchaoticsystems
_version_	1725603172123148288

Combination-Combination Synchronization of Four Nonlinear Complex Chaotic Systems

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