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Introduction to piecewise smooth dynamical systems and applications

Grant number: 20/10386-7
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): December 01, 2020
Effective date (End): June 30, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Tiago de Carvalho
Grantee:Guilherme Corsini Costa
Home Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil
Associated research grant:19/10269-3 - Ergodic and qualitative theories of dynamical systems II, AP.TEM

Abstract

The student has already completed a previous scientific initiation, where he studied discrete time dynamic. In addition, view all seminars related to the scientific initiation stage of your classmate, who studied continuous time dynamic.Given the previous baggage, we will study in this project theoretical and applied aspects related to piecewise smooth vector Fields. In theoretical aspects: typical singularities, trajectories that have quadratic and cubic tangencies with a switching surface. In the applications, we will study the evolution of the HIV-AIDS model.

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