Bifurcation from single periodic orbit in discontinuous autonomous systems

被引：2

作者：

Feckan, Michal ^{[1
,2
]}

Pospisil, Michal ^{[2
]}

机构：

[1] Comenius Univ, Dept Math Anal & Numer Math, Bratislava 84248, Slovakia

[2] Slovak Acad Sci, Math Inst, Bratislava 81473, Slovakia

来源：

APPLICABLE ANALYSIS | 2013年 / 92卷 / 06期

关键词：

periodic orbit; discontinuous systems; bifurcation; 34C23; 34C25; 37G15;

D O I：

10.1080/00036811.2011.649731

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is devoted to the study of bifurcations of periodic solutions for discontinuous autonomous systems from single periodic solutions of unperturbed discontinuous equations. In addition, local asymptotic properties of derived perturbed periodic solutions are also investigated. An example of planar discontinuous ordinary differential equations is given to illustrate the theory.

引用

页码：1085 / 1100

页数：16

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