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Type: TESE
Degree Level: Doutorado
Title: Orbitas periodicas em sistemas mecanicos
Title Alternative: Periodic orbits in dynamical systems
Author: Roberto, Luci Any Francisco
Advisor: Teixeira, Marco Antonio, 1944-
Abstract: Resumo: Neste trabalho estudamos sistemas dinâmicos possuindo estruturas Hamiltonianas e reversíveis(

Abstract: In this work we study dynamical systems possessing Hamiltonian and time-reversible structures. The reversibility concept is de¯ned in terms of an involution. Initially we discuss the dynamics of Hamiltonian vector ¯elds with 2 and 3 degrees of freedom around an elliptic equilibrium in the presence of an involution which preserves the symplectic structure. The main results discuss the existence of one-parameter families of reversible periodic solutions terminating at the equilibrium. The main techniques that are used in the proofs are Belitskii and Birkho® normal forms and the Liapunov-Schmidt Reduction. Next we consider a case of the 3-body restricted problem in rotating coordinates. In this case the two primaries are oving in an elliptic collision orbit. By the continuation method of Poincare we characterize that the periodic circular orbits and the symmetric periodic elliptic orbits from the Kepler problem which can be prolonged to pseudo periodic orbits of the planar restricted 3{body problem in rotating coordinates with the two primaries moving in an elliptic collision orbit
Subject: Órbitas periódicas
Sistemas hamiltonianos
Formas normais (Matemática)
Campos vetoriais
Language: Português
Editor: [s.n.]
Citation: ROBERTO, Luci Any Francisco. Orbitas periodicas em sistemas mecanicos. 2008. 80p. Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica, Campinas, SP. Disponível em: <>. Acesso em: 10 ago. 2018.
Date Issue: 2008
Appears in Collections:IMECC - Tese e Dissertação

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