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: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/953265
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author Xiaobing Zhou
Lianglin Xiong
Xiaomei Cai
author_facet Xiaobing Zhou
Lianglin Xiong
Xiaomei Cai
author_sort Xiaobing Zhou
collection DOAJ
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.
format Article
id doaj-art-af14f3f8426d4be5b7388ef51740b8d2
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-af14f3f8426d4be5b7388ef51740b8d22025-02-03T05:48:01ZengWileyAbstract 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
spellingShingle Xiaobing Zhou
Lianglin Xiong
Xiaomei Cai
Combination-Combination Synchronization of Four Nonlinear Complex Chaotic Systems
Abstract and Applied Analysis
title 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_short Combination-Combination Synchronization of Four Nonlinear Complex Chaotic Systems
title_sort combination combination synchronization of four nonlinear complex chaotic systems
url http://dx.doi.org/10.1155/2014/953265
work_keys_str_mv AT xiaobingzhou combinationcombinationsynchronizationoffournonlinearcomplexchaoticsystems
AT lianglinxiong combinationcombinationsynchronizationoffournonlinearcomplexchaoticsystems
AT xiaomeicai combinationcombinationsynchronizationoffournonlinearcomplexchaoticsystems