文章基本信息

标题：The dynamic analysis of a chaotic system
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作者：Shao Fu Wang ; Da-zhuan Xu
期刊名称：Advances in Mechanical Engineering
印刷版ISSN：1687-8140
电子版ISSN：1687-8140
出版年度：2017
卷号：9
期号：3
DOI：10.1177/1687814017693718
语种：English
出版社：Sage Publications Ltd.
摘要：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.
关键词：Chaotic system; Poincaré mapping; Hopf bifurcation; Lyapunov exponent; horseshoe