CV Lattes
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Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. Instituto de Biociências, Letras e Ciências Exatas (IBILCE) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Bachelor's at Licenciatura em Matemática from Instituto de Biociências, Letras e Ciências Exatas /UNESP-SP (2000), master's at Matemática Aplicada from Instituto de Matemática e Estatística/USP - SP (2002) and doctorate at Matemática from Universitat Autònoma de Barcelona, Spain (2006). Has experience in Mathematics, focusing on Dinamical Systems (Qualitative Theory of the Ordinary Differential Equations), acting on the following subjects: polynomial vector fields, center-focus problem, limit cycles, piecewise smooth vector fields and bifurcations. (Source: Lattes Curriculum)
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In this project, our goal is to study isochronous centers on central manifolds of polynomial vector fields in R3. We will develop mathematical methods that allow the characterization of these centers according to the parameters of the system, avoiding, if possible, the direct restriction of the vector field to the finite expansion of a center manifold. Once characterized, we will focus on…
The theory of dynamical systems is one of the most important tools in the qualitative and quantitative study of mathematical models of applied sciences. Most of these models are formulated using differential equations (continuous dynamic systems). Since the first works published by Poincaré at the end of the 19th century, the qualitative theory of differential equations has experienced a …
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In this project our goal is the study of monodrome nilpotent singular points in center manifolds of vector fields in R3. We will look for a result that characterizes these points according to the parameters of the system and without the necessity of restricting it to a center manifold. Once characterized, we will focus on finding techniques to solve the center-focus problem for these sing…
The theory of dynamical systems is one of the most important tools in quantitative and qualitative study of mathematical models of applied sciences. Most of these models are formulated using differential equations (continuous dynamical systems). Since the first published work by Poincaré in the late nineteenth century, the qualitative theory of differential equations have experienced a si…
This project contemplates the study of the time of the solution curves for differential equations when distinct types of bifurcations occur, focusing in three topics: the study of the period of limit-cycles generated by non-elementary bifurcations, the time delay associated to the bottleneck or ghost phenomenom and the improvement of tools to obtain uniform developments of the period func…
In this project our goal is the study of some current problems of the Qualitative Theory of the Ordinary Differentials Equations. We will study the Center-Focus Problem in central manifolds of vector fields in R3 and the Dulac's Problem for monodromic singular points of piecewise analytic vector fields in the plane.We will develop a method that allows us to computate the Lyapunov coeffici…
| 1 / 1 | Ongoing grants |
| 6 / 4 | Completed research grants |
| 5 / 2 | Completed scholarships in Brazil |
| 2 / 2 | Completed scholarships abroad |
| 14 / 9 | All research grants and scholarships |
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