On Poincaré-Bendixson Theorem in Planar Nonsmooth Vector Fields

Resumen

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.