The project is dedicated to the study of piecewise smooth vector fields, defined in two or three dimensional manifolds. Within this context, a study will first be carried out aiming at a classification of structurally stable systems in two-dimensional compact manifolds. In a second phase we will consider the bifurcation set, which is obtained by excluding the structurally stable systems, and we will make a classification of the systems of codimension one. Finally the project will be concluded with a characterization of structurally stable systems defined in 3-dimensional manifolds that are foliated by compact 2-dimensional manifolds.
News published in Agência FAPESP Newsletter about the scholarship: