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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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.
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页码：46 / 53
页数：8
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