Branches of forced oscillations in degenerate systems of second-order ODEs

被引：3
|
作者：
Lewicka, Marta [2 ]
Spadini, Marco [1 ]
机构：
[1] Univ Florence, Dipartimento Matemat Applicata, I-50139 Florence, Italy
[2] Univ Minnesota, Minneapolis, MN 55455 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 09期
关键词：
coupled differential equations; branches of periodic solutions; fixed point index;
D O I：
10.1016/j.na.2007.02.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use fixed point index methods to Study the set of forced oscillations in periodically perturbed systems of ODEs on manifolds. We prove the existence of branches of periodic solutions for a particular class of system where, contrary to the usual 'nondegeneracy' assumption, the leading vector field is neither trivial nor has a set of compact zeros. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2623 / 2628
页数：6
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