Abstract:

We present some qualitative and geometric aspects of the non-smooth vector fields and define some concepts as trajectory, limit sets, invariance and minimal sets. In this scenario we also exhibit an example where we have a minimal set whose interior is non-empty and point some new phenomena concerning minimal and limit sets in the context of Poincaré-Bendixson Theorem.

This is a joint work with Claudio Buzzi and Tiago de Carvalho.