Morse decomposition and structure of non-autonomous attractors

• Grant number: 19/02327-3
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2019
• End date: December 31, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Alexandre Nolasco de Carvalho
• Grantee: Luciano Renato Neves Rocha
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The aim of this project is to study and relate the concepts of non-autonomous attractors (pullback, uniform and skew-product), study results that give sufficient conditions for existence of non-autonomous attractors, study the Morse Decomposition of non-autonomous attractors and apply the theoretical results to the study of a model (discrete Chafee-Infante like), completely characterizing the isolated invariant sets associated with the Morse decomposition.