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
graduate at Matemática from Instituto de Ciências Matemática e de Computação (2001), master's at Mathematics from Universidade de São Paulo (2004) and ph.d. at Mathematics from Universidade Estadual de Campinas (2008). Has experience in Mathematics, focusing on Dynamic Systems, acting on the following subjects: continuation method, periodic orbit, normal form, reversibility and bifurcações de pontos de equilíbrio. (Source: Lattes Curriculum)
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This project aims to study basic notions and introductory results of Qualitative Theory of Ordinary Differential Equations. In particular, we concern to the existence and uniqueness of solutions, the $C^1$ dependence of solutions on the initial conditions, the Tubular Flow Theorem, the Hartman-Grobman Theorem, and differential equations in the plane with Poincaré-Bendixson Theory. We also…
The main goal of this project is study the existence and stability of limit cycles in discontinuous piecewise linear systems obtained by the aggregation of two linear systems of focus type with just one real focus. For this case, we consider an adequate canonical form with five parameters and different bifurcations which are responsible for the appearance of crossing limit cycles. These …
This project aims to study the concepts and definitions of discontinuous piecewise linear systems with two zones and then get a canonical form Liénard-like with seven parameters and analyze qualitatively the case focus-focus.
We will work with Cr reversible vector fields in R3, where r is bigger than 2, reversible with respect to an involution in R3. Such vector fields are invariant on two-dimensional submanifold M2 embedded in R3. Let S be the set of fixed points of the involution. The set S is a submanifold of M2. We will study the structural stability of the set of these vector fields and also the generic o…
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