He holds a bachelor's degree (2019) and a master degree (2021) in mathematics by "Universidade Estadual Paulista" (São Paulo State's University). Currently he is a doctoral student in mathematics, by the same institution, under the guidance of Professor Claudio Buzzi and co-guidance of Professor Armengol Gasull. In 2020 he did a six-months research internship at "Universitat Autònoma de Barcelona" (Barcelona Autonomous' University) under the supervision of Professor Jaume Llibre. He works in Dynamic Systems, mainly with vector fields and non-smoth vector fields. (Source: Lattes Curriculum)
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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 …
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. (…
The project aims to introduce the student to the Qualitative Theory of Ordinary Differential Equations. In a first phase aspects of the local theory will be approached through the study of some classic results such as: existence and uniqueness theorem, theorems of dependence with respect to initial conditions and parameters, flow defined by a differential equation, the Grobman-Hartman th…
Our main goal is to study the polycycles (also known as graphs) of vector fields with two vertical invariant straight lines and two horizontal invariant straight lines. Such family of vector fields is closely linked with Game Theory. More precisely, we aim to study the existence, genericity, stability, cyclicity and bifurcation diagrams of such polycycles. (AU)
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)
| 1 / 1 | Ongoing scholarships in Brazil |
| 2 / 2 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 1 / 1 | Completed scholarships abroad |
| 5 / 5 | All Scholarships |
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