The aim of this project is to study the bifurcation diagrams of generic three-parameter families of non-smooth planar systems, known by Filippov Systems. We are interested in a special class of degenerate systems and also in the generic classification/characterization for these systems by means of orbital equivalence. Moreover, given a three-parameter family of non-smooth vector fields Z(a,b,c), we want to describe the bifurcation diagram of Z(a,b,c) together with the study of the codimension one and two global bifurcations that appear nearby Z(0,0,0). In particular the birth of typical degenerate cycles and limit cycles will be investigated.
News published in Agência FAPESP Newsletter about the scholarship: