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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
Valor Concedido/Desembolsado (R$): 53,735.00 / 0.00
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)

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