CV Lattes
ORCID
Google Scholar Citations
Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Post-doctoral researcher at ICMC-USP/São Carlos. Bachelor in Mathematics from FC-UNESP/Bauru (2015), Master (2017) and PhD (2022) in Mathematics from IBILCE-UNESP/São José do Rio Preto. He undertook two Research Internships Abroad: the first one, during his doctorate, at Université de Haute-Alsace (Mulhouse, France) from September/2019 to June/2020, and the second one, at the Universiteit Hasselt (Diepenbeek, Belgium), from May/2024 to April/2025. He was a Temporary Teacher at IFSP Câmpus Araraquara from March/2022 to December/2022. He has experience in Mathematics, with an emphasis on Dynamical Systems and Qualitative Theory of Ordinary Differential Equations, with an interest in the following topics: Bifurcations of piecewise smooth vector fields, constrained systems, desingularization and compactification of vector fields. (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) |
Slow-fast systems (also known as singular perturbation problems) are a special class of ordinary dierential equations characterized by the existence of solutions with multiple time scales. Besides its wide applicability in many branches of science and engeneering, this class of systems draws attention for its rich and challenging dynamics. This research project aims to answer two question…
We will study discontinuous oriented foliations and regularization processes. The process introduced by Sotomayor and Teixeira proposes the use of monotonic transition functions. With this process, the sliding appears as a limit of invariant manifolds of the regularized system. In this project we intend to use regularization without the requirement of monotonicity. (AU)
In this project we will study qualitative and geometric aspects about piecewise smooth vector fields (either called discontinuous vector fields or Filippov systems) defined in the plan. The study of such fields has been of great interest in recent years, not only for the beauty and mathematical challenges involved in their analysis, but also by the enormous applicability of discontinuous …
This project will begin with the study of several examples modeled by ordinary differential equations. These examples run from electrical, biological, chemical, and especially mechanical problems (mass-spring system or other). We will study these systems through their phase portraits, where we will be able to explore important qualitative/geometric informations about the dynamic behavior …
The Sotomayor-Teixeira regularization is widely used in the study of theoretical and applied aspects of piecewise smooth vector fields. In addition, the study of different regularization processes, such as non-monotonic and non-linear regularizations, has attracted attention because it expands the possibilities of the dynamics of the associated slow-fast system. This research project aims…
Our main goal is to study constrained systems. Applications for this class of systems can be found in physical models, such as electrical circuits. It is also possible to find constrained systems in another mathematical contexts, for example, in the study of the flows of smooth vector fields on invariant manifolds. We intend to investigate how we can describe these flows by using such sys…
| 1 / 1 | Ongoing scholarships in Brazil |
| 3 / 3 | Completed scholarships in Brazil |
| 2 / 2 | Completed scholarships abroad |
| 6 / 6 | All Scholarships |
| Associated processes | |