Orbitas periodicas em sistemas mecanicos
| Autor: | Roberto, Luci Any Francisco |
|---|---|
| Přispěvatelé: | Teixeira, Marco Antonio, 1944, Buzzi, Claudio Aguinaldo, Tal, Fabio Armando, Garcia, Ronaldo Alves, Saa, Alberto Vazquez, Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica, Programa de Pós-Graduação em Matemática, UNIVERSIDADE ESTADUAL DE CAMPINAS |
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Biblioteca Digital de Teses e Dissertações da Universidade Estadual de Campinas (UNICAMP) Universidade Estadual de Campinas (UNICAMP) instacron:UNICAMP |
| DOI: | 10.47749/t/unicamp.2008.417063 |
| Popis: | Orientador: Marco Antonio Teixeira Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica 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 Doutorado Topologia e Geometria Doutor em Matemática |
| Databáze: | OpenAIRE |
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