Rigorous computation of heteroclinic bifurcations in ordinary differential equations.

• Grant number: 17/21187-2
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: January 15, 2018
• End date: July 14, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcio Fuzeto Gameiro
• Grantee: Bernardo Augusto do Prado Rivas
• Supervisor: Konstantin Mischaikow
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Rutgers The State University of New Jersey, New Brunswick, United States
• Associated to the scholarship: 16/21170-0 - Rigorous computation of invariant manifolds, BP.MS

Abstract

The goal of this project is to study rigorous computational methods to compute connecting orbits in ODEs and use these methods to study heteroclinic bifurcations. A study of the state of the art is proposed alongside the application of the methods in some well known ODE models.