Ph.D in Mathematics from the State University of Campinas (UNICAMP), with FAPES scholarship. Completed a Master's degree in Pure Mathematics at the Institute of Mathematics, Statistics, and Scientific Computing at UNICAMP, with a FAPESP scholarship, studying limit cycles for piecewise smooth dynamical systems on compact manifolds. Graduated in Bachelor of Mathematics from the Federal University of Itajubá (2016). Holds a technical degree in Building Construction from SENAI - Anielo Greco (2012). Throughout her academic journey, she was a research fellow funded by CAPES, in the Young Talents for Science program, where she focused on studying RSA cryptography, and by CNPq, in the Scientific Initiation and Master's Program (PICME), aimed at medalists of the Brazilian Mathematics Olympiad (OBMEP). In this program, she delved into various mathematical subjects, including bifurcations in nonlinear models of ordinary differential equations for cancer. (Source: Lattes Curriculum)
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The aim of this project is to study systems of piecewise smooth differential equations in dimension 3, locally and globally (in $\mathbb R^3$ and also in compact manifolds). The expected results are about structural stability and chaotic behavior of these systems. Moreover, we want to study the relations between Sotomayor-Teixeira Regularization and Singular Perturbation Theory problems a…
In this project we study the existence of limit cycles for two kind of dynamical systems: perturbations of piecewise smooth systems in R^n possessing a invariant compact submanifold filled by periodic orbits and also linear piecewise smooth dynamical systems on manifolds of the form M= R^n x ( S^k)^m. The case m=0, in particular when n2, has been exhaustively studied in the last years, so…
The study of the limit cycles is one of the most important objectives in the qualitative theory of the planar ordinary differential equations. We remark that to obtain an upper bound for the maximum number of limit cycles for a given differential system in the plane R2, in general, is a very difficult problem. The study of the discontinuous piecewise differential systems, more recently al…
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