Duffing方程的静态与动态分岔特性研究

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基金项目: 国家自然科学基金(19872041);国家教委留学回国人员基金(98837129);山东省自然科学基金(Y98A73016)

A Study of the Static and Global Bifurcations for Duffing Equation

Department of Mathematics and Physics, Shandong University of Technology, Jinan 250061, P R China

摘要: 对于Duffing方程的静态和全局动态分岔,通过研究平均方程的全局行为得到了出现各种分岔的条件,揭示了Duffing方程周期解的变化过程及其具有的非线性动力学性质。
- Duffing方程 /
- 平均系统 /
- 分岔
Abstract: In this paper,the static and global bifurcations of the forced Duffing equation have been studied by means of the averaged system.Bifurcation condition has been obtained in the whole parametric space.The change of the phase plane structure has been investigated.
- ored Duffing equation /
- averaged system /
- bifurcation

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[4]	Golubitsky M,Schaeffer D G.Singularities and Groups in Bifurcation Theory[M].New York,Berlin,Heidelberg,Tokyo: Springer-Verlag,1984.

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