On the Limit Cycles for a Class of Continuous Piecewise Linear Differential Systems with Three Zones

Nenhuma Miniatura disponível

Data

2015-04-01

Orientador

Coorientador

Pós-graduação

Curso de graduação

Título da Revista

ISSN da Revista

Título de Volume

Editor

World Scientific Publ Co Pte Ltd

Tipo

Artigo

Direito de acesso

Acesso restrito

Resumo

Lima and Llibre [2012] have studied a class of planar continuous piecewise linear vector fields with three zones. Using the Poincare map, they proved that this class admits always a unique limit cycle, which is hyperbolic. The class studied in [Lima &Llibre, 2012] belongs to a larger set of planar continuous piecewise linear vector fields with three zones that can be separated into four other classes. Here, we consider some of these classes and we prove that some of them always admit a unique limit cycle, which is hyperbolic. However we find a class that does not have limit cycles.

Descrição

Idioma

Inglês

Como citar

International Journal Of Bifurcation And Chaos, v. 25, n. 4, p. 13, 2015.

Itens relacionados