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


Autoria(s): BONOTTO, E. M.; FEDERSON, M.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2008

Resumo

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.

Identificador

JOURNAL OF DIFFERENTIAL EQUATIONS, v.244, n.9, p.2334-2349, 2008

0022-0396

http://producao.usp.br/handle/BDPI/28973

10.1016/j.jde.2008.02.007

http://dx.doi.org/10.1016/j.jde.2008.02.007

Idioma(s)

eng

Publicador

ACADEMIC PRESS INC ELSEVIER SCIENCE

Relação

Journal of Differential Equations

Direitos

restrictedAccess

Copyright ACADEMIC PRESS INC ELSEVIER SCIENCE

Palavras-Chave #impulsive semidynamical systems #limit sets #Poincare-Bendixson Theorem #Mathematics
Tipo

article

original article

publishedVersion