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Discontinuous foliations and impasses

Grant number: 16/22310-0
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): May 01, 2017
Effective date (End): January 24, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Cooperation agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal Investigator:Paulo Ricardo da Silva
Grantee:Otávio Henrique Perez
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):18/24692-2 - Singular impasse manifolds and flows on invariant surfaces, BE.EP.DR

Abstract

We will study discontinuous oriented foliations and regularization processes. The process introduced by Sotomayor and Teixeira proposes the use of monotonic transition functions. With this process, the sliding appears as a limit of invariant manifolds of the regularized system. In this project we intend to use regularization without the requirement of monotonicity. (AU)