Undergraduate student pursuing a Bachelor's degree in Mathematics at the University of São Paulo (USP). (Source: Lattes Curriculum)
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The final goal of the project is to show that cascade systems are gradients. This project will be divided into:1. Show that the notions of gradient and dynamically gradient semigroups are equivalent;2. Study the qualitative properties of attractors of autonomous and non-autonomous dynamical systems;3. Use the notion of dynamically gradient semigroups for non-autonomous dynamical systems t…
This project proposes two lines of study, both establishing links between the areas of Analysis and Geometry/Topology. We will begin by investigating optimization problems in geometry, highlighting the importance of symmetry in solving these problems. In the second part we will study the Brouwer topological degree, an essential tool for studying the topological degree according to Leray-S…
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