An introduction to dynamical system

• Grant number: 19/06048-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2019
• End date: May 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: José Régis Azevedo Varão Filho
• Grantee: Felipe Carvalho Silva
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This project is an introduction to Dynamic Systems via the study of some models and fundamental phenomena. The models chosen are the rotations in the circle, expanding endomorphism’s in the circle, symbolic dynamics and equidistributional of the orbits of irrational rotation. Beyond of an introduction to dynamic systems this undergraduate research project serves as a training for the student to learn to write in precise mathematical language.