On Poincaré-Bendixson Theorem in Planar Nonsmooth Vector Fields

Autores

  • Tiago de Carvalho
  • Claudio A. Buzzi
  • Rodrigo D. Euzébio

DOI:

https://doi.org/10.5540/03.2015.003.01.0023

Palavras-chave:

nonsmooth vector fielPoincaré-Bendixson theory, minimal sets, limit sets.

Resumo

In this paper some qualitative and geometric aspects of nonsmooth vector fields theory are discussed. In the class of nonsmooth systems, that do not present sliding regions, a Poincaré Bendixson Theorem is presented. The concepts of limit sets and minimal sets for nonsmooth systems are defined and compared with the classical ones.

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Publicado

2015-08-25

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