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Dynamics and Hamiltonian systems

Grant number: 18/18331-7
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Start date: September 01, 2018
End date: June 30, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Salvador Addas Zanata
Grantee:André Muchon Neto
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:16/25053-8 - Dynamics and geometry in low dimensions, AP.TEM

Abstract

The project consists on introducing the student to the theory and basic methods in the field of Dynamical Systems and Ordinary Differential Equations. Such introduction will be based on a dynamical problem originated from a Hamiltonian Mechanics problem with 2 degrees of freedom. To accomplish that, the student will learn the foundations of Hamiltonian Mechanics, the theory of Ordinary Differential Equations and Dynamical Systems, to understand the origin of the dynamical problem, and then proceed to its study.

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