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Introduction to discrete dynamic systems

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


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.