一类新型混沌系统的Hopf分岔

World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering Pub Date : 2010-08-25 DOI:10.5281/ZENODO.1071572

Kejun Zhuang

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引用次数: 6

摘要

本文考虑一个三维自治混沌系统。通过选择合适的分岔参数，研究了Hopf分岔的存在性。利用范式理论推导了Hopf分岔方向和分岔周期解稳定性的确定公式。最后给出了一个数值算例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hopf Bifurcation for a New Chaotic System

In this paper, a three dimensional autonomous chaotic system is considered. The existence of Hopf bifurcation is investigated by choosing the appropriate bifurcation parameter. Furthermore, formulas for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions are derived with the help of normal form theory. Finally, a numerical example is given.

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来源期刊

World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering

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