Limit sets and the Poincare-Bendixson Theorem in impulsive semidynamical systems

被引：60

作者：

Bonotto, E. M. ^{[1
]}

Federson, M. ^{[1
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos,Caixa Postal 668, BR-13560970 Sao Carlos, SP, Brazil

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年 / 244卷 / 09期

基金：

巴西圣保罗研究基金会;

关键词：

impulsive semidynamical systems; limit sets; Poincare-Bendixson Theorem;

D O I：

10.1016/j.jde.2008.02.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider semidynamical systems with impulse effects at variable times and we discuss some properties of the limit sets of orbits of these systems such as invariancy, compactness and connectedness. As a consequence we obtain a version of the Poincare-Bendixson Theorem for impulsive semidynamical systems. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：2334 / 2349

页数：16

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