Averaging theory for studying invariant tori and periodic behavior in differential equations and inclusions

• Grant number: 22/09633-5
• Support Opportunities: Regular Research Grants
• Duration: October 01, 2022 - September 30, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Douglas Duarte Novaes
• Grantee: Douglas Duarte Novaes
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

In this research project, it will be addressed global aspects of differential equations and inclusions and it is divided into 2 main themes: 1. Bifurcation of Invariant Tori of Differential Equations and 2. Bifurcation of Periodic Solutions of Differential Systems with Low Regularity. In both themes, the main goal consists in developing methods for detecting periodic and quasi-periodic behavior in differential equations and inclusions. (AU)