CV Lattes
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Universidade Federal de São Carlos (UFSCAR). Centro de Ciências Exatas e de Tecnologia (CCET) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Graduated in Mathematics (FCT/Unesp - 2008), Master of Science - Mathematics (ICMC/USP - 2011) and Doctor of Science - Mathematics (ICMC/USP - 2014). His interest areas are the Qualitative Theory of Ordinary Differential Equations and Dynamical Systems, with emphasis on the study of the quadratic differential systems in the plane and the usage of affine comitants and invariants, and of the planar piecewise differential systems. He is Adjunct Professor (B3 level) at the Department of Mathematics at Universidade Federal de São Carlos (DM-UFSCar). (Source: Lattes Curriculum)
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We present this research project to request an Individual Research Grant from FAPESP. The object of study of this research project is the polynomial differential systems defined in the plane R^2 and in space R^3. As particular and well-known examples, we highlight Hilbert's 16th Problem, which deals with the search for the number of limit cycles in polynomial differential systems in the p…
This project is proposed to a student entering the Master's course of the Graduate Program in Mathematics at UFSCar (PPGM-UFSCar). The candidate will graduate in Mathematics at UFSCar in February 2024 and was approved in the selection for the Master's course at PPGM-UFSCar. During her graduation, she studied several subjects of the Bachelor's degree in Mathematics and carried out three Sc…
This project is proposed for a fourth-year Mathematics student, who has already taken basic and intermediate courses and has already completed two scientific initiation projects on Discrete Dynamical Systems and Metric Spaces and Introduction to Topology. The student is prepared to work with more advanced concepts involving Measure Theory and Ergodic Theory. This project aims to encourage…
We present a criterion that provides an easy sufficient condition in order for a collection of line integrals to have the Chebyshev property. This condition involves the functions in the integrand of the line integrals and can be checked, in many cases, in a purely algebraic way. By using this criterion, the number of limit cycles for discontinuous piecewise differential systems formed by…
One of the most investigated problem in the qualitative theory of dynamical systems in the plane is the 16th Hilbert Problem dealing with limit cycles, more precisely the second part of the problem, which asks: What is the maximum number of limit cycles of a polynomial differential system of degree m?Limit cycle means an isolated closed orbit in the set of all orbits of a planar different…
In this research project we present the problem in which we may work during the scientific visit at the Department of Mathematics of the Autonomous University of Barcelona (UAB), in collaboration with Prof. Dr. Joan Carles Artés, and also Prof. Dr. Jaume Llibre and Prof. Dr. Joan Torregrosa. The project consists of the the investigation of planar quadratic differential systems according t…
| 1 / 1 | Ongoing grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 4 / 3 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 7 / 6 | All research grants and scholarships |
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