graduation at Matemática from Universidade Estadual Paulista Júlio de Mesquita Filho (2017), master's at Applied Mathematics from Universidade Estadual Paulista Júlio de Mesquita Filho (2019) and doctorate at Applied Mathematics from Universidade Estadual Paulista Júlio de Mesquita Filho (2024). Has experience in Mathematics, focusing on Dynamic Systems, acting on the following subjects: ciclicidade, ponto de hopf, teoria qualitativa, problema do centro-foco and bifurcação. (Source: Lattes Curriculum)
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In this project, we tackle two problems concerning invariant tori for three-dimensional vector fields. The first one investigates the existence of invariant tori for vector fields having a 0-nilpotent singular point, i.e. vector fields whose linear term is yx. We propose the study of the invariant tori bifurcation for these vector fields using the Averaging theory to identify a Neimark-Sa…
In this project our goal is the study of monodrome nilpotent singular points in center manifolds of vector fields in R3. We will look for a result that characterizes these points according to the parameters of the system and without the necessity of restricting it to a center manifold. Once characterized, we will focus on finding techniques to solve the center-focus problem for these sing…
The theory of dynamical systems is one of the most important tools in quantitative and qualitative study of mathematical models of applied sciences. Most of these models are formulated using differential equations (continuous dynamical systems). Since the first published work by Poincaré in the late nineteenth century, the qualitative theory of differential equations have experienced a si…
This project contemplates the study of the time of the solution curves for differential equations when distinct types of bifurcations occur, focusing in three topics: the study of the period of limit-cycles generated by non-elementary bifurcations, the time delay associated to the bottleneck or ghost phenomenom and the improvement of tools to obtain uniform developments of the period func…
| 2 / 2 | Ongoing scholarships in Brazil |
| 1 / 1 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 4 / 4 | All Scholarships |
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