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

• Grant number: 18/23194-9
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2019
• End date: June 30, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Claudio Aguinaldo Buzzi
• Grantee: Paulo Henrique Reis Santana
• 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): 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)

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

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, DEC 2020. (19/10269-3, 19/21446-3, 18/23194-9)

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, NOV 15 2021. (18/23194-9, 19/10269-3, 19/21446-3)

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.