一个三阶系统的Hopf分叉

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基金项目: 国家自然科学基金资助项目

Hopf Bifurcation in a Three-Dimensional System

摘要: 本文利用Liapunov-Schmidt约化和奇点理论讨论了三阶系统-βy(1-kz),?=β[α(1-z)-ky²在全参数域上的Hopf分叉与退化的Hopf分叉,给出了周期解存在与稳定性条件.

Abstract: In this paper,Liapunor-Schmidl reduction and singularity theory are employed to discuss Hopf and degenerate Hopf bifureations in global parametric region in a three-dimensional system , The conditions on existence and stability are given.

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