Campos descontínuos com chaveamento no Rn

• Ano de defesa: 2016
• Autor(a) principal: Silva , Tharsis Souza
• Orientador(a): Garcia , Ronaldo Alves
• Banca de defesa: Garcia , Ronaldo Alves, Buzzi , Claudio Aguinaldo, Teixeira , Marco Antonio, Jaquemard , Alain Guy, Medrado , João Carlos da Rocha
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Goiás
• Programa de Pós-Graduação: Programa de Pós-graduação em Matemática (IME)
• Departamento: Instituto de Matemática e Estatística - IME (RG)
• País: Brasil
• Palavras-chave em Português: Campo vetorial descontínuo; Relay systems; Polinômios de Euler; Órbitas periódicas
• Palavras-chave em Inglês: Discontinuous vector _eld; Relay systems; Euler polynomial; Periodic orbits
• Área do conhecimento CNPq: ALGEBRA::LOGICA MATEMATICA
• Link de acesso: http://repositorio.bc.ufg.br/tede/handle/tede/6144

In this work we _rstly study a relay system X on the Rn that, under certain conditions, it has a one parameter family of 1-periodic orbits that arises in the origin and increase inde_nitely. We study yet another relay system class X_, that it is formed from the initial relay system by aditions of nilpotent parameters that, under certain conditions, it has the same result of the previous, and yet family of periodic orbits that arises in the origin and ends in a loop, or family that bifurcate of a loop and arise inde_nitelly. Furthermore the periodic solutions are explicitely given by Euler polynomials. Finally we study a third order di_erential equation with relay looking for periodic orbits of di_erent degrre of di_erentiability and this is done by the associated vector _eld with jump.