CV Lattes
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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Graduate at Molecular Sciences Course from the University of de São Paulo (2002), graduate at Accounting also from the University of São Paulo (2004). I'm a Ph.D. in Applied Mathematics by the University of São Paulo (2007), where I've worked with Liapunov Stability, and I've made a postdoc stage at the University of Verona working with problems related to the Jacobian Conjecture from a real analysis and dynamical point of view. I've also started working on Ergodic Optmization in a postdoc stage at the University of São Paulo, and I still have interest in the whole field of Dynamical Systems and its related topics. Nowadays, I'm a Professor at the Math Department in the University of São Paulo (USP). (Source: Lattes Curriculum)
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In this project we search for sufficient conditions fpr instability of equilibrium points in particular lagrangian systems where the potencial energy does not have a minimum at the equilibrium point and such fact can be detected through the study of its taylor polynomial of order $k$ or, more precisely, its jet of order $k$ at the equilibrium point shows that this is not a point of minimu…
In this project, we develop the basic elements of the theory of ordinary differential equations and their relations to Classical Mechanics. The comprehension of such elements is fundamental for many areas of research nowadays, and so we are sure it will be a key step on the student development, enabling him to pursue more advanced topics related to those that are currently under research …
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