Ordinary Differential Equations: qualitative theory and study of models

• Grant number: 24/00903-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2024
• End date: December 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marta Cilene Gadotti
• Grantee: Danielle Assunção da Silva
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

The aim of this project is to research two interesting topics about Ordinary Differential Equations that are not developed in undergraduate Mathematics subjects: qualitative theory and its applicability in the study of certain models. We will study the stability of autonomous systems and demonstrate the Hartman-Grobman Theorem.