A New No-Equilibrium Chaotic System and Its Topological Horseshoe Chaos-Reference-Cited by-同舟云学术

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

Published:2016 Issue: Volume:2016 Page:1-6
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Wang Chunmei¹,Hu Chunhua²,Han Jingwei³,Cang Shijian⁴⁵^ORCID

Affiliation:

1. Department of Information Engineering, Binzhou University, Binzhou 256600, China

2. Department of Electrical Engineering, Binzhou University, Binzhou 256600, China

3. College of Aeronautical Engineering, Binzhou University, Binzhou 256600, China

4. Department of Product Design, Tianjin University of Science and Technology, Tianjin 300457, China

5. School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China

Abstract

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.

Funder

Shandong Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2016/3142068.pdf

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3. Multi-pulse chaotic dynamics of six-dimensional non-autonomous nonlinear system for a composite laminated piezoelectric rectangular plate