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Discontinuous foliations and impasses

Grant number: 16/22310-0
Support Opportunities:Scholarships in Brazil - Doctorate
Effective date (Start): May 01, 2017
Effective date (End): January 24, 2022
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Acordo de Cooperação: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal Investigator:Paulo Ricardo da Silva
Grantee:Otavio Henrique Perez
Host 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


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)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
DA SILVA, PAULO RICARDO; PEREZ, OTAVIO HENRIQUE. Invariant Algebraic Surfaces and Impasses. Qualitative Theory of Dynamical Systems, v. 20, n. 2, . (16/22310-0)
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
PEREZ, Otavio Henrique. Singular impasse manifolds and flows on invariant surfaces. 2022. Doctoral Thesis - Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto São José do Rio Preto.

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