Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. Instituto de Biociências, Letras e Ciências Exatas (IBILCE)
(Institutional affiliation for the last research proposal)
graduate at Bacharelado Em Matemática from Universidade Estadual Paulista Júlio de Mesquita Filho (2000), master's at Mathematics from Universidade de São Paulo (2003) and ph.d. at Mathematics from Universidade de São Paulo (2008).
(Source: Lattes Curriculum)
News published in Agência FAPESP Newsletter about the researcher
In this project we intend to start studies on interesting mathematical objects called fractals. We will study its formation processes and its dynamic behaviors, some of its properties such as Hausdorff dimension. Finally, we will try to understand a little bit about Julia and Mandelbrot sets and some properties that they present. (AU)
In this project we will study the basic concepts of discrete dynamical systems, which will serve as a tool for establishing the knowledge and also as the basis for the study of important results and techniques from the dynamical system area, especially for nonlinear systems, which are not seen during the graduation. Some topics that will be covered are the concepts of periodic orbits, bif…
In this project we will study the qualitative theory of ordinary differential equations and applications. For the analysis of the phase plane vector fields and bifurcations will use a powerful auxiliary tool, ie, we use the software MAPLE or MATHEMATICA.
We are going to study the dynamics of maps acting on the interval, with a unique point of discontinuity, where the one-sided derivatives exists, and whose derivative is positive and strictly smaller than one everywhere. Such applications are called dissipative Lorenz maps. We will also assume that those Lorenz maps have criticality. More precisely we will be interested on the rigidity cla…
Investigate the existence of periodic orbits for functions defined on a compact manifold, using as main tools, the Lefschetz numbers and Nielsen numbers. For this we attempt characterize the set of periods of a such function. (AU)