| 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 |
Abstract 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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