He has graduated in Industrial Mathematics at Federal University of Ceará (UFC) (2012-2017) and Master degree in Mathematics at the Institute of Mathematics, Statistics and Scientific Computation of the State University of Campinas (IMECC/UNCAMP) (2017-2019). He participated in the Brazilian government program Science Without Borders studying at Dublin City University (DCU), in Dublin, Ireland, between 2015 and 2016, where he studied numerical solutions of singularly perturbed second order partial differential equations. He also worked as an intern of scientific initiation with Federal University of Rio de Janeiro (COPPETEC/UFRJ) between 2014 and 2015 obtainng some experience on numerical solution of linear system of algebraic equations. He is currently enrolled on the Mathematics Ph.D. program at IMECC, where he stydies dynamical systems induced by the solutions of ordinary differential equations with emphasis on Averaging Theory and Brouwer and Coincidence Degree Theories. He is now at the Universitat Autònoma de Barcelona (UAB) with a Research Internship Scholarship (BEPE) for a period of 12 months. (Source: Lattes Curriculum)
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The main objective of this project consists in the study of limit cycles of continuous differential equations by means of topological tools such as the Brouwer degree and the coincidence degree. The theme of this project is strongly based on recent publications which generalize, for non-smooth differential equations, some classical techniques (Averaging Theory and Melnikov's Method) used …
Motivated by recent works generalizing the averaging theory for low regularity differential equations, this project proposes a higher order analysis for a family of perturbed Carathéodory differential equations aiming at finding sufficient conditions to guarantee the existence of periodic solutions of these equations that bifurcate from the non-perturbed system. It is also proposed to inv…
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CV Lattes
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