| Grant number: | 17/08779-8 |
| Support type: | Scholarships in Brazil - Doctorate |
| Effective date (Start): | September 01, 2017 |
| Effective date (End): | January 26, 2022 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Claudio Aguinaldo Buzzi |
| Grantee: | Ana Livia Rodero |
| Home Institution: | Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil |
| Associated research grant: | 13/24541-0 - Ergodic and qualitative theory of dynamical systems, AP.TEM |
| Associated scholarship(s): | 19/00440-7 - Study of limit cycles in piecewise smooth systems on the sphere, BE.EP.DR |
Abstract 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. | |