The dynamic analysis of a chaotic system

A three-dimensional chaotic system which contains different parameters is proposed in this article. By applying numerical and analytical methods, the basic properties of the system, such as dynamical behaviors, dissipation, sensitivity, power spectrum, Poincaré map, and Lyapunov exponents, are inves...

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Bibliographic Details
Published inAdvances in mechanical engineering Vol. 9; no. 3
Main Authors Wang, Shao Fu, Xu, Da-zhuan
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.03.2017
Sage Publications Ltd
SAGE Publishing
Subjects
Chaos theory
Dissipation
Hopf bifurcation
Liapunov exponents
Neural networks
Numerical methods
Symmetry
horseshoe
Poincaré mapping
Chaotic system
Hopf bifurcation
Lyapunov exponent
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Summary:A three-dimensional chaotic system which contains different parameters is proposed in this article. By applying numerical and analytical methods, the basic properties of the system, such as dynamical behaviors, dissipation, sensitivity, power spectrum, Poincaré map, and Lyapunov exponents, are investigated. In addition, the existence of both Hopf bifurcation and topological horseshoe is presented. The obtained results clearly show that this is a new chaotic system.
ISSN:1687-8132
1687-8140
DOI:10.1177/1687814017693718