A New No-Equilibrium Chaotic System and Its Topological Horseshoe Chaos

A New No-Equilibrium Chaotic System and Its Topological Horseshoe Chaos

A new no-equilibrium chaotic system is reported in this paper. Numerical simulation techniques, including phase portraits and Lyapunov exponents, are used to investigate its basic dynamical behavior. To confirm the chaotic behavior of this system, the existence of topological horseshoe is proven via...

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Main Authors: Chunmei Wang, Chunhua Hu, Jingwei Han, Shijian Cang
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2016/3142068
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spelling doaj-cf1bca2688274125b5a172b07631e0af2021-07-02T07:50:38ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/31420683142068A New No-Equilibrium Chaotic System and Its Topological Horseshoe ChaosChunmei Wang0Chunhua Hu1Jingwei Han2Shijian Cang3Department of Information Engineering, Binzhou University, Binzhou 256600, ChinaDepartment of Electrical Engineering, Binzhou University, Binzhou 256600, ChinaCollege of Aeronautical Engineering, Binzhou University, Binzhou 256600, ChinaDepartment of Product Design, Tianjin University of Science and Technology, Tianjin 300457, ChinaA new no-equilibrium chaotic system is reported in this paper. Numerical simulation techniques, including phase portraits and Lyapunov exponents, are used to investigate its basic dynamical behavior. To confirm the chaotic behavior of this system, the existence of topological horseshoe is proven via the Poincaré map and topological horseshoe theory.http://dx.doi.org/10.1155/2016/3142068
collection DOAJ
language English
format Article
sources DOAJ
author Chunmei Wang
Chunhua Hu
Jingwei Han
Shijian Cang
spellingShingle Chunmei Wang
Chunhua Hu
Jingwei Han
Shijian Cang
A New No-Equilibrium Chaotic System and Its Topological Horseshoe Chaos
Advances in Mathematical Physics
author_facet Chunmei Wang
Chunhua Hu
Jingwei Han
Shijian Cang
author_sort Chunmei Wang
title A New No-Equilibrium Chaotic System and Its Topological Horseshoe Chaos
title_short A New No-Equilibrium Chaotic System and Its Topological Horseshoe Chaos
title_full A New No-Equilibrium Chaotic System and Its Topological Horseshoe Chaos
title_fullStr A New No-Equilibrium Chaotic System and Its Topological Horseshoe Chaos
title_full_unstemmed A New No-Equilibrium Chaotic System and Its Topological Horseshoe Chaos
title_sort new no-equilibrium chaotic system and its topological horseshoe chaos
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2016-01-01
description A new no-equilibrium chaotic system is reported in this paper. Numerical simulation techniques, including phase portraits and Lyapunov exponents, are used to investigate its basic dynamical behavior. To confirm the chaotic behavior of this system, the existence of topological horseshoe is proven via the Poincaré map and topological horseshoe theory.
url http://dx.doi.org/10.1155/2016/3142068
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