Global study of reversible vector fields of type (2;1)

• Grant number: 19/21446-3
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: February 01, 2020
• End date: July 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Claudio Aguinaldo Buzzi
• Grantee: Paulo Henrique Reis Santana
• Supervisor: Jaume Llibre Salo
• 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
• Institution abroad: Universitat Autònoma de Barcelona (UAB), Spain
• Associated to the scholarship: 18/23194-9 - Global study of reversible vector fields of type (2,0), BP.MS

Abstract

Classification of global phase portraits of normal forms of reversible vector fields of type (2;1) of codimension zero and one. It is the exhibition of all possible global phase portraits of this class of vector fields on the Poincaré disk. The main tools are Hartman's Theorem, Center Manifold Theorem, Reversibility, Normal Forms, Blow up and Poincaré Compactification. (AU)

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. 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)