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The study of vector fields with applications at game theory

Grant number: 21/01799-9
Support Opportunities:Scholarships in Brazil - Doctorate
Effective date (Start): September 01, 2021
Effective date (End): September 21, 2025
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:19/10269-3 - Ergodic and qualitative theories of dynamical systems II, AP.TEM
Associated scholarship(s):22/14353-1 - Study of polycycles with applications in game theory, BE.EP.DR


The goal of the project is the study of planar vector fields with four invariant straight lines, two verticals and two horizontals, aiming its applications on game theory. The objective is to study the phase portraits, the bifurcation diagrans, the integrability of the system, the number of limit cycles, the algebricity and the hyperbolicity of the limit cycles and the annular periods of the planar polynomial vectors fields with these four invariant straight lines. (AU)

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