graduate at Licenciatura Em Matemática from Universidade Estadual Paulista Júlio de Mesquita Filho (1992), master's at Mathematics from Universidade Estadual de Campinas (1995) and ph.d. at Mathematics from Universidade Estadual de Campinas (1999). Has experience in Mathematics, focusing on Dynamic Systems, acting on the following subjects: sistemas dinâmicos, sistemas reversíveis, teoria qualitativa, equações diferenciais ordinárias and sistemas hamiltonianos. (Source: Lattes Curriculum)
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This project is a continuation of the thematic project: Ergodic and Qualitative Theories of Dynamical Systems (process 2013 / 24541-0). Our goal is to study several problems in the area of dynamical systems and their connections with other areas such as Analysis, Ergodic Theory, Number Theory, Topology among many others. The problems to be addressed are current and include the following t…
We will study the isolated periodic orbits (limit cycles) in planar piecewise polynomial systems. The first problem is defined in four zones defined by two straight lines that crosses perpendicularly. Here we consider two or four different linear systems. We prove that in a symmetric case (two systems) there exist systems with five limit cycles bifurcating far from the origin and in the n…
Dynamical systems are one of the best tools for understanding of the mathematical models of experimental sciences. The main goal of this project is to improve the knowledge of these systems obtaining new results with emphasis on the study of the following ten main topics: systems of differential equations piecewise smooth, discontinuous perturbations of centers, systems of quadratic polyn…
The goal of the project is the study of planar vector fields with four invariant straight lines, two verticals and two horizontals, aiming its applications on game theory. The objective is to study the phase portraits, the bifurcation diagrans, the integrability of the system, the number of limit cycles, the algebricity and the hyperbolicity of the limit cycles and the annular periods of …
Introduce the student to the planar dynamic systems by studying the number of limit cycles that bifurcate from a linear center. In an initial phase, a study will be made on local aspects of the Qualitative Theory of Ordinary Differential Equations, with special emphasis on planar systems. In the sequence, a study of global aspects will be made, such as the notion of limit sets and attract…
The project aims to introduce the student to the Qualitative Theory of Ordinary Differential Equations. In a first phase, aspects of local theory will be addressed through the study of some classic results, such as: existence and uniqueness of solutions theorem, theorems of dependency in relation to initial conditions and parameters, flow defined by a differential equation, stable manifol…
In this postdoctoral project, we investigate the dynamics of global phenomena in systems governed by differential equations. More specifically, we study global connections in tridimensional Filippov systems and infinite dimensional Hamiltonian systems.
(Only some records are available in English at this moment)
Classification of global phase portraits of normal forms of reversible vector fields of type (2;1) of codimension zero and one. It is the exhibition of all possible global phase portraits of this class of vector fields on the Poincaré disk. The main tools are Hartman's Theorem, Center Manifold Theorem, Reversibility, Normal Forms, Blow up and Poincaré Compactification. (AU)
At first, this study aims to classify centers for a special class of piecewise smooth Ordinary Differential Equations defined in the unit sphere. In a second moment, we would like to obtain an upper bound for the number of limit cycles that bifurcate from the center. If this upper bound there exists, we will try to answer the question: how does it depend on the degree of the polynomial p…
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 …
(Only some records are available in English at this moment)
| 1 / 1 | Ongoing research grants |
| 4 / 2 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 22 / 15 | Completed scholarships in Brazil |
| 6 / 5 | Completed scholarships abroad |
| 34 / 24 | All research grants and scholarships |
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CV Lattes
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