Bachelor's in Pure Mathematics from Universidade Estadual Paulista Júlio de Mesquita Filho (2008), master's at Pure Mathematics from Universidade Estadual Paulista Júlio de Mesquita Filho (2011) and doctorate at Pure Mathematics from Universidade Estadual Paulista Júlio de Mesquita Filho (2014 and 2019) with split time in Universitat Autònoma de Barcelona. He has 'habilitation' by the Universidade Estadual de Campinas and he was post-doctorate fellow at Universidade Estadual de Campinas (2014) and Universitat Autònoma de Barcelona (2015). Has experience in Mathematics, focusing on Dynamic Systems, acting on the following subjects: chaos, minimality, and other aspects of topological dynamics of the piecewise smooth vector fields, limit cycles, and minimal sets, local and global bifurcations of piecewise smooth systems, asymptotical and structural stability, averaging and Melnikov theory and applications of dynamical systems. (Source: Lattes Curriculum)
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In this project we propose to investigate the existence of typical minimal sets and invariant manifolds in piecewise smooth systems. In particular, we are interested in the bifurcation of limit cycles through a piecewise smooth perturbation of manifolds filled by periodic orbits such as a band of bi-dimensional manifolds and the permanence of such objects. The methods used to approach the…
First of all, we study the non-linear dynamical systems looking at the local perspective: Existence and Uniqueness Theorem, Grobman-Hartman Theorem, and Stable Manifold Theorem. After that, we study some aspects of the global dynamics as for example Poincaré-Bendixon Theorem. Finally, we study the Normal Form Theory: Poincaré theorem and Siegel theorem. (AU)
In this project we aim to study the existence and configuration of minimal sets in 3-dimensional piecewise smooth differential systems for two special classes of systems. Our main goal is to investigate the existence of codimension one manifolds filled up (or not) by periodic orbits after a non-smooth perturbation of a continuum of periodic orbits. Codimension two manifolds (limit cycles)…
Study of families of periodic orbits and their bifurcations in differential equations of finite dimension, with special attention to the following classes of systems of differential equations: (a) Polynomial differential systems in finite dimension and their limit cycles, and (b) piecewise linear differential systems (AU)
| 3 / 3 | Completed scholarships in Brazil |
| 2 / 2 | Completed scholarships abroad |
| 5 / 5 | All Scholarships |
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CV Lattes
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