EXISTENCE OF PERIODIC SOLUTIONS TO A PERTURBED FOUR-DIMENSIONAL SYSTEM

被引：0

作者：

Liu Xuanliang Liu Yongqi Meng Xiaoying Dept of Math South China University of Technology Guangzhou ^{[510640
]}

机构：

来源：

Annals of Differential Equations | 2009年 / 25卷 / 01期

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D O I：

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中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

Consider a k multiple closed orbit on an invariant surface of a four dimensional system, after a suitable perturbation, the closed orbit can generate periodic orbits and double-period orbits. Using bifurcation methods and techniques, sufficient conditions for the existence of periodic solutions to the perturbed four dimensional system are obtained, and the period-doubling bifurcations is discussed.

引用

页码：46 / 53

页数：8

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