Advanced search
Start date
Betweenand

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

Abstract

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)

News published in Agência FAPESP Newsletter about the scholarship:
Articles published in other media outlets (0 total):
More itemsLess items
VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

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.

Please report errors in scientific publications list by writing to: cdi@fapesp.br.