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An introduction to dynamical system

Grant number: 19/06048-1
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): June 01, 2019
Effective date (End): May 31, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:José Régis Azevedo Varão Filho
Grantee:Felipe Carvalho Silva
Home 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.