Rigorous topological methods for bifurcation in dynamical systems

• Grant number: 12/22711-3
• Support Opportunities: Scholarships abroad - Research
• Start date: February 07, 2013
• End date: March 01, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Marcio Fuzeto Gameiro
• Grantee: Marcio Fuzeto Gameiro
• Host Investigator: 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

Abstract

The goal of this research project is to use rigorous numerical methods to prove the existence and uniqueness of solutions of differential equations, and also to use topological methods, based on the Conley Index, to detect and analyze dynamics and bifurcations in dynamical systems. (AU)