Introduction to piecewise smooth dynamical systems and applications

• Grant number: 20/10386-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: December 01, 2020
• End date: June 30, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Tiago de Carvalho
• Grantee: Guilherme Corsini Costa
• Host 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.