Graduation at Mathematics from Universidade Estadual Paulista Júlio de Mesquita Filho (2015), master's at Mathematics from Universidade Estadual Paulista Júlio de Mesquita Filho (2017) and doctorate at Mathematics from Universidade Estadual Paulista Júlio de Mesquita Filho (2022). Has experience in Mathematics, focusing on Dynamic Systems, acting on the following subjects: integrability, local cyclicity, vector fields on invariant spheres and center-focus problem. (Source: Lattes Curriculum)
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The main goal of this project is the study of piecewise smooth vector fields defined in 2, 3 and 4-dimensional manifolds, in two distinct lines which will be addressed simultaneously. The goal of the first line of this project is to study the cyclicity problem for a system having multiple period rings, searching for an upper bound for the number of limit cycles that can bifurcate, simult…
The project is dedicated to the study of piecewise smooth vector fields, defined in two or three dimensional manifolds. Within this context, a study will first be carried out aiming at a classification of structurally stable systems in two-dimensional compact manifolds. In a second phase we will consider the bifurcation set, which is obtained by excluding the structurally stable systems, …
The integrability problem consists of explicitly finding a non-constant function that is constant on the orbits of a given system. For planar differential systems, the integrability theorypar excellence is Darboux's. Generalizations of this theory have been achieved during thelast few years, such as the integrability based on generalized cofactors and the Weierstrassintegrability, for exa…
At first, this study aims to classify centers for a special class of piecewise smooth Ordinary Differential Equations defined in the unit sphere. In a second moment, we would like to obtain an upper bound for the number of limit cycles that bifurcate from the center. If this upper bound there exists, we will try to answer the question: how does it depend on the degree of the polynomial p…
| 1 / 1 | Ongoing scholarships in Brazil |
| 1 / 1 | Completed scholarships in Brazil |
| 2 / 2 | Completed scholarships abroad |
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