Caotic dynamics: typical phenomena in complex and one-dimensional dynamics

• Grant number: 20/12196-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: December 01, 2020
• End date: November 30, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Gabriel Ponce
• Grantee: Guilherme de Faria Rodrigues
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The main goal of this project is to study models and phenomena in chaotic dynamics. These are fundamental for the development of the area and for the comprehension of mathematical models applied to physics and biology. This subject will be approached studying, mainly, the one-dimensional and complex dynamics foundations.