CV Lattes
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Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Post-doctoral fellow at the Institute of Mathematical and Computer Sciences ICMC/USP and the University of Texas (UTD), Richadson (Texas, United States), Iserved as Substitute Professor at Federal University of Tocantins - UFT, Campus of Palmas, PhD in Mathematics (2021), by the Postgraduate Program in Mathematics - UNESP / IBILCE, Campus São José do Rio Preto (Brazil) and by Universitat Autònoma de Barcelona (UAB), Bellaterra (Spain). Master in Mathematics (2016), by Postgraduate Program in Mathematics - UNESP / IBILCE, Campus São José do Rio Preto. Bachelor in Pure Mathematics (2014), from the Instituto de Biociências, Letras e Ciências Exatas IBILCE/UNESP, Campus of São José do Rio Preto. I have experience in the area of Mathematics, with an emphasis on Dynamic Systems, working mainly on the following topics: ordinary differential equations, qualitative theory, piecewise smooth dynamic systems, period function, limit cycles. (Source: Lattes Curriculum)
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The present project has four main lines of research for planar differential systems. First, in a generic situation, we intend to understand the behavior of the regularization of orbits of a piecewise smooth system with four zones, near of a singular point in the discontinuity manifold having an orbit of the "homoclinic type". In a second moment, assuming conditions for the existence of th…
The proposal is devoted to the study of piecewise smooth vector fields, in the case where the border of the smooth parts of the vector fields are not regular. In this context, it will be first made a study aimed at a classification of systems that are not structurally stable. Necessarily such a study requires an analysis of bifurcations of low codimension 1 and 2. Finally the project will…
Introduce the student to the study of piecewise smooth dynamical systems through the study of the class of planar piecewise linear systems. In a preliminary phase conduct a study and prepare a collection of mathematical models involving special ordinary differential equations of first and second orders, solving them analytically and also developing computational experiments. Following wil…
Despite the huge relevance of vaccines for preventing infectious diseases, physical isolation for susceptible individuals and quarantine of infected individuals also are key strategies to fight against a pandemic. Based on math epidemiological models are governed by piecewise smooth systems, we are interested in an intermittent non-pharmacological protocol to control the fraction of infec…
Study aiming to obtain lower bound for the number of limit cycles for a special class of Ordinary Differential Equations piecewise smooth and defined in the cylinder. The main tool to be used is the Melnikov Theory. In a second moment, we analyze the regularization of such piecewise smooth systems by looking for smooth approximations that have the same amount of limiting cycles and which …
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