Generic bifurcations of low codimension of planar Filippov Systems

Abstract

In this article some qualitative and geometric aspects of non-smooth dynamical systems theory are discussed. The main aim of this article is to develop a systematic method for studying local (and global) bifurcations in non-smooth dynamical systems. Our results deal with the classification and characterization of generic codimension-2 typical singularities of planar Filippov systems as well as the presentation of the bifurcation diagrams and some dynamical consequences