We present a version of the Poincare-Bendixson Theorem on the Klein bottle K(2) for continuous vector fields. As a consequence, we obtain the fact that K(2) does not admit continuous vector fields having a omega-recurrent ...

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 ...

In this paper some qualitative and geometric aspects of nonsmooth vector felds theory are discussed. A Poincaré-Bendixson Theorem for a class of nonsmooth systems is presented. In addition, a minimal set in planar Filippov ...

The main result of this work is the Poincaré - Bendixson Theorem for planar piecewise smooth vector fields, which tell us what kind of limit sets arise in this context. We will also study details about the concepts of ...

In this thesis minimal sets of smooth and non-smooth vector fields in dimension 2 and 3 are studied. First the study of minimal sets is restricted to limit cycles. Questions about existence, distribution and quantity of ...