Bifurcation and stability of periodic solutions of Duffing equations

被引：19

作者：

Chen, Hongbin ^{[1
]}

Li, Yi ^{[2
]}

机构：

[1] Xian Jiaotong Univ, Dept Math, Xian, Peoples R China

[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

NONLINEARITY | 2008年 / 21卷 / 11期

关键词：

D O I：

10.1088/0951-7715/21/11/001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the stability and exact multiplicity of periodic solutions of the Duffing equation from the global bifurcation point of view and show that the Duffing equation with cubic nonlinearities has at most three T-periodic solutions under a strong damped condition. More precisely, we prove that the T-periodic solutions form a smooth S-shaped curve and the stability of each T-periodic solution is determined by Floquet theory.

引用

页码：2485 / 2503

页数：19

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