Introduction to discrete dynamic systems

• Grant number: 19/00581-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2019
• End date: June 30, 2020
• 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: 13/24541-0 - Ergodic and qualitative theory of dynamical systems, AP.TEM

Abstract

In this project we will study discrete dynamic systems. We will use the 10 first chapters of the book A first course in chaotic dynamical systems, Series: Addison-Wesley studies in nonlinearity by Robert L. Devaney as the main text. So, the student will learn about orbit, graphic analysis, fixed points, bifurcations, quadratic family, symbolic dynamics and chaos.