| Grant number: | 11/22529-8 |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| Start date: | April 01, 2012 |
| End date: | September 30, 2015 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Marco Antônio Teixeira |
| Grantee: | Juliana Fernandes Larrosa |
| Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
| Associated research grant: | 07/06896-5 - Geometry of Control, Dynamical and Stocastics Systems, AP.TEM |
| Associated scholarship(s): | 14/13970-0 - Regularization of Planar Filippov Systems near a Codimension One Singularity, BE.EP.DR |
Abstract 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. | |
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