Persistence of minimal sets in dynamic systems

• Grant number: 16/25459-4
• Support Opportunities: Scholarships in Brazil - Master
• Start date: April 01, 2017
• End date: February 28, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Douglas Duarte Novaes
• Grantee: Luan Vinicio de Mattos Ferreira Silva
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 12/18780-0 - Geometry of control systems, dynamical and stochastics systems, AP.TEM

Abstract

It is intended in this project a qualitative study of the systems of differential equations. Problems will be addressed on the persistence of invariant and minimal sets (cycles, logs, cylinders, etc.) in perturbative differential systems. Such problems will enable the student to have contact with classical studies of the area, such as those dealing with persistence limit cycles and invariant logs, as well as current problems of remarkable productivity, such as those involving non-smooth systems. These problems will be based on the "averaging" and KAM (Kolmogorov-Arnold-Moser) theories. (AU)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SILVA, Luan Vinicio de Mattos Ferreira. KAM theory and Melnikov Method applied to discontinuous systems. 2019. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.