CV Lattes
ORCID
Google Scholar Citations
Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
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). He is currently phd student at Universidade Estadual Paulista Júlio de Mesquita Filho. Has experience in Mathematics, focusing on Dynamic Systems, acting on the following subjects: Averaging theory, monodromic singular points, polycycles, cyclicity, Hopf point, qualitative theory, center problem and bifurcation (Source: Lattes Curriculum)
| News published in Agência FAPESP Newsletter about the researcher |
| More itemsLess items |
| TITULO |
| Articles published in other media outlets ( ): |
| More itemsLess items |
| VEICULO: TITULO (DATA) |
| VEICULO: TITULO (DATA) |
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…
In this project, we tackle two problems related to the cyclicity of limit periodic sets: The first one is concerns families of vector fields $X_\mu$ having a hyperbolic polycycle $\Gamma$ for $\mu_0$. When the return map is well defined in the region enclosed by $\Gamma$, there exists a monodromic singularity in this region. Our goal is to study the simultaneous cyclicity of both the poly…
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…
| 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 |
| Associated processes | |