| Grant number: | 21/08031-9 |
| Support Opportunities: | Regular Research Grants |
| Start date: | November 01, 2021 |
| End date: | October 31, 2023 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Ricardo Miranda Martins |
| Grantee: | Ricardo Miranda Martins |
| Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
| City of the host institution: | Campinas |
Abstract
In this project, we will continue to study piecewise smooth dynamical systems that are defined in compact manifolds. While the local theory of piecewise smooth dynamical systems is in a fairly advanced stage, the same cannot be said about its global properties. The main aim of this project is to study (i) the existence of periodic orbits and other invariant sets and (ii) the establishment of Poincaré-Hopf type results for such systems. (AU)
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