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Global study of reversible vector fields of type (2,0)

Grant number: 18/23194-9
Support type:Scholarships in Brazil - Master
Effective date (Start): March 01, 2019
Effective date (End): June 30, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Claudio Aguinaldo Buzzi
Grantee:Paulo Henrique Reis Santana
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):19/21446-3 - Global study of reversible vector fields of type (2;1), BE.EP.MS


Classification of the global phase portraits of the normal forms of the reversible vector fields of type (2; 0) of codimension zero and one. This is the exhibition of all possible global phase portraits of this class of vector fields on the Poincaré disk. We will use as tools: Hartman's Theorem, Center Manifold Theorem, Reversibility, Normal Forms, Blow up and Poincaré Compactification. (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)
BUZZI, CLAUDIO; LLIBRE, JAUME; SANTANA, PAULO. Phase portraits of (2;0) reversible vector fields with symmetrical singularities. Journal of Mathematical Analysis and Applications, v. 503, n. 2, . (18/23194-9, 19/10269-3, 19/21446-3)
BUZZI, CLAUDIO; LLIBRE, JAUME; SANTANA, PAULO. Periodic orbits of a Hamiltonian system related with the Friedmann-Robertson-Walker system in rotating coordinates. PHYSICA D-NONLINEAR PHENOMENA, v. 413, . (19/10269-3, 19/21446-3, 18/23194-9)
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
SANTANA, Paulo Henrique Reis. Planar reversible vector fields, averaging theory and polycycles in non-smooth vector fields. 2021. Master's Dissertation - 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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