A New Type of Combination Synchronization among Multiple Chaotic Systems

A New Type of Combination Synchronization among Multiple Chaotic Systems

Based on former combination synchronization studies, a new type of combination synchronization approach is developed in this research, with the consideration of parallel combination of drive systems. This new synchronization approach is referred to as combination synchronization-II. As a representat...

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Main Authors: Xingxu Wang, Lin Sun, Bingji Wang, Tousheng Huang
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2019/8262654
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spelling doaj-6fd9f033ffe343379df2d2880e19a27e2020-11-25T00:52:41ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472019-01-01201910.1155/2019/82626548262654A New Type of Combination Synchronization among Multiple Chaotic SystemsXingxu Wang0Lin Sun1Bingji Wang2Tousheng Huang3School of Mechanical Engineering, Liaoning Shihua University, Fushun 113001, ChinaSchool of Mechanical Engineering, Liaoning Shihua University, Fushun 113001, ChinaResearch Center for Engineering Ecology and Nonlinear Science, North China Electric Power University, Beijing 102206, ChinaResearch Center for Engineering Ecology and Nonlinear Science, North China Electric Power University, Beijing 102206, ChinaBased on former combination synchronization studies, a new type of combination synchronization approach is developed in this research, with the consideration of parallel combination of drive systems. This new synchronization approach is referred to as combination synchronization-II. As a representative case, the combination synchronization-II between three drive systems and one response system is studied. Applying Lyapunov stability theorem and active backstepping design, sufficient conditions for the proposed combination synchronization approach are derived. Numerical simulations are performed to show the feasibility and effectiveness of the proposed approach. Based on the investigation in this research, the proposed approach provides an applicable method for designing universal combination synchronization among multiple chaotic systems.http://dx.doi.org/10.1155/2019/8262654
collection DOAJ
language English
format Article
sources DOAJ
author Xingxu Wang
Lin Sun
Bingji Wang
Tousheng Huang
spellingShingle Xingxu Wang
Lin Sun
Bingji Wang
Tousheng Huang
A New Type of Combination Synchronization among Multiple Chaotic Systems
Mathematical Problems in Engineering
author_facet Xingxu Wang
Lin Sun
Bingji Wang
Tousheng Huang
author_sort Xingxu Wang
title A New Type of Combination Synchronization among Multiple Chaotic Systems
title_short A New Type of Combination Synchronization among Multiple Chaotic Systems
title_full A New Type of Combination Synchronization among Multiple Chaotic Systems
title_fullStr A New Type of Combination Synchronization among Multiple Chaotic Systems
title_full_unstemmed A New Type of Combination Synchronization among Multiple Chaotic Systems
title_sort new type of combination synchronization among multiple chaotic systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2019-01-01
description Based on former combination synchronization studies, a new type of combination synchronization approach is developed in this research, with the consideration of parallel combination of drive systems. This new synchronization approach is referred to as combination synchronization-II. As a representative case, the combination synchronization-II between three drive systems and one response system is studied. Applying Lyapunov stability theorem and active backstepping design, sufficient conditions for the proposed combination synchronization approach are derived. Numerical simulations are performed to show the feasibility and effectiveness of the proposed approach. Based on the investigation in this research, the proposed approach provides an applicable method for designing universal combination synchronization among multiple chaotic systems.
url http://dx.doi.org/10.1155/2019/8262654
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