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Dynamical systems with symmetries and implicit differential equations

Grant number: 20/04717-0
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): June 01, 2020
Effective date (End): May 31, 2022
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Paulo Ricardo da Silva
Grantee:Luiz Fernando da Silva Gouveia
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:19/10269-3 - Ergodic and qualitative theories of dynamical systems II, AP.TEM

Abstract

We will study flows on invariant algebraic surfaces via analysis of systems with impasses. We will investigate the connexion of such problems with the Geometric Theory of Singular Perturbation.We will look for conditions that guarantee the existence of minimal sets and invariant manifolds of systems with symmetries. (AU)