MINIMAL SETS IN DOUBLE-PERTURBED DIFFERENTIAL EQUATIONS

被引：0

作者：

Martins, Ricardo Miranda ^{[1
]}

Teixeira, Marco Antonio ^{[1
]}

机构：

[1] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP, Brazil

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2015年 / 41卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

Limit cycle; periodic orbit; averaging method; invariant tori; invariant cylinders; PERIODIC-ORBITS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we study minimal sets of coupled systems of second order differential equations. We use methods in Averaging Theory, Lyapunov-Schmidt and Normal Forms Theory to analyze the birth of cylinders and tori in such systems. We provide applications of the developed methodology to study the existence of minimal sets in perturbations of some normal forms, and in a class of weakly coupled oscillators.

引用

页码：491 / 512

页数：22

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