He holds a Bachelor's Degree (2011), a Master's Degree (2015) in Mathematics from the Universidad de Los Andes and a Doctorate (2020) in Mathematics from the State University of Campinas, having completed, in his doctorate, an internship period at the Universidad del Litoral (2019) and at Universitat Autònoma de Barcelona (2020). Has experience in Mathematics, with emphasis on Dynamic Systems, acting on the following subjects: bifurcation theory and discontinuous dynamic systems. He is currently doing a post-doctorate at the Institute of Biosciences, Letters and Exact Sciences - Unesp, Campus of São José do Rio Preto. (Source: Lattes Curriculum)
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We will study the behavior of the orbits of the regularized systems around tangential degenerate singularities using the techniques of geometric theory of singular perturbations.We will investigate the regularization of tangential polycycles for Filippov systems.We will also study piecewise Holomorphic systems.
We will study the number of limit cycles of piecewise holomorphic systems, which is related to the famous Hilbert Problem 16 for piecewise vector fields. Also, we will investigate slow-fast systems in C^2, which can be used in the regularization process of discontinuous fields in R^4 with discontinuity surface with codimension 2. Also, we are interested in investigating the typical singul…
| 1 / 1 | Completed scholarships in Brazil |
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