Introduction to dynamical systems through examples

• Grant number: 22/10589-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2022
• End date: December 20, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Daniel Smania Brandão
• Grantee: Sofia Sampaio Lacerda
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 17/06463-3 - Probabilistic and algebraic aspects of smooth dynamical systems, AP.TEM
• Associated scholarship(s): 22/13987-7 - Interval exchange transformations and its generalizations, BE.EP.IC

Abstract

This project aims to introduce the student to the theory of Dynamical Systems through several examples. We will focus on the study of real and complex one-dimensional dynamical systems. We will carry out a study using both rigorous mathematical methods and numerical experiments. We will study basic concepts and later on an in-depth study of more recent results.(AU)