Equações diferenciais de Liénard definidas em zonas

Detalhes bibliográficos
Autor(a) principal: Ruiz, Jeidy Johana Jimenez
Data de Publicação: 2016
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/5638
Resumo: The study under existence and uniqueness of limit cycles of equations systems differential is a very active research topic in the qualitative theory of dynamical systems. In this theme we study this topic in discontinuous dynamic systems. Let’s make this in Liénard differentials equation systems, allowing a line of discontinuity. Furthermore, we present the known method of Averaging firstly in your classic version, that is, for class fields at least C2, we study also to generalized version, to piecewise- smooth dynamical systems. As a result, we use this tool to determine the number of limit cycles that can bifurcate of a planar center, inside the equation Liénard differentials equation class.
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spelling Medrado, João Carlos da Rochahttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4785197A0Medrado, João Carlos da RochaCarvalho, Tiago deBuzzi, Claudio Aguinaldohttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K8164829Z0Ruiz, Jeidy Johana Jimenez2016-06-03T11:43:02Z2016-03-04Ruiz, J. J. J. Equações diferenciais de Liénard definidas em zonas. 2016. 89 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2016.http://repositorio.bc.ufg.br/tede/handle/tede/5638The study under existence and uniqueness of limit cycles of equations systems differential is a very active research topic in the qualitative theory of dynamical systems. In this theme we study this topic in discontinuous dynamic systems. Let’s make this in Liénard differentials equation systems, allowing a line of discontinuity. Furthermore, we present the known method of Averaging firstly in your classic version, that is, for class fields at least C2, we study also to generalized version, to piecewise- smooth dynamical systems. As a result, we use this tool to determine the number of limit cycles that can bifurcate of a planar center, inside the equation Liénard differentials equation class.O estudo sobre existência e unicidade de ciclos limites de sistemas de equações diferenciais é um tópico de grande interesse na teoria qualitativa de sistemas dinâmicos. Nesta dissertação, estudamos este tópico em sistemas dinâmicos descontínuos. Vamos fazer esta análise em sistemas de equações diferenciais de Liénard, permitindo uma linha de descontinuidade. Além disso, vamos apresentar o conhecido método Averaging de primeira ordem, em primeiro lugar na sua versão clássica, isto é, para campos de classe pelo menos C2, depois apresentaremos também a versão generalizada, para sistemas diferenciais definidos por partes. Como resultado, fazemos uso desta ferramenta para determinar o número de ciclos limites que podem bifurcar de um centro planar, dentro da classe de equações diferenciais de Liénard.Submitted by Marlene Santos (marlene.bc.ufg@gmail.com) on 2016-06-02T21:00:54Z No. of bitstreams: 2 Dissertação - Jeidy Johana Jimenez Ruiz - 2016.pdf: 946402 bytes, checksum: 0a36384eddfdcc5620d74725a24dd86a (MD5) license_rdf: 19874 bytes, checksum: 38cb62ef53e6f513db2fb7e337df6485 (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2016-06-03T11:43:02Z (GMT) No. of bitstreams: 2 Dissertação - Jeidy Johana Jimenez Ruiz - 2016.pdf: 946402 bytes, checksum: 0a36384eddfdcc5620d74725a24dd86a (MD5) license_rdf: 19874 bytes, checksum: 38cb62ef53e6f513db2fb7e337df6485 (MD5)Made available in DSpace on 2016-06-03T11:43:02Z (GMT). No. of bitstreams: 2 Dissertação - Jeidy Johana Jimenez Ruiz - 2016.pdf: 946402 bytes, checksum: 0a36384eddfdcc5620d74725a24dd86a (MD5) license_rdf: 19874 bytes, checksum: 38cb62ef53e6f513db2fb7e337df6485 (MD5) Previous issue date: 2016-03-04Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPqapplication/pdfporUniversidade Federal de GoiásPrograma de Pós-graduação em Matemática (IME)UFGBrasilInstituto de Matemática e Estatística - IME (RG)http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessSistemas dinâmicos descontínuosMétodo averagingCiclo limitePiecewise-smooth dynamical systemsMethod of averagingLimit cycleGEOMETRIA E TOPOLOGIA::SISTEMAS DINAMICOSEquações diferenciais de Liénard definidas em zonasLiénard of differential equations defined by zonesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis6600717948137941247600600600600-42687775123351520151858387081509645909-2555911436985713659reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGLICENSElicense.txtlicense.txttext/plain; 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dc.title.por.fl_str_mv Equações diferenciais de Liénard definidas em zonas
dc.title.alternative.eng.fl_str_mv Liénard of differential equations defined by zones
title Equações diferenciais de Liénard definidas em zonas
spellingShingle Equações diferenciais de Liénard definidas em zonas
Ruiz, Jeidy Johana Jimenez
Sistemas dinâmicos descontínuos
Método averaging
Ciclo limite
Piecewise-smooth dynamical systems
Method of averaging
Limit cycle
GEOMETRIA E TOPOLOGIA::SISTEMAS DINAMICOS
title_short Equações diferenciais de Liénard definidas em zonas
title_full Equações diferenciais de Liénard definidas em zonas
title_fullStr Equações diferenciais de Liénard definidas em zonas
title_full_unstemmed Equações diferenciais de Liénard definidas em zonas
title_sort Equações diferenciais de Liénard definidas em zonas
author Ruiz, Jeidy Johana Jimenez
author_facet Ruiz, Jeidy Johana Jimenez
author_role author
dc.contributor.advisor1.fl_str_mv Medrado, João Carlos da Rocha
dc.contributor.advisor1Lattes.fl_str_mv http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4785197A0
dc.contributor.referee1.fl_str_mv Medrado, João Carlos da Rocha
dc.contributor.referee2.fl_str_mv Carvalho, Tiago de
dc.contributor.referee3.fl_str_mv Buzzi, Claudio Aguinaldo
dc.contributor.authorLattes.fl_str_mv http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K8164829Z0
dc.contributor.author.fl_str_mv Ruiz, Jeidy Johana Jimenez
contributor_str_mv Medrado, João Carlos da Rocha
Medrado, João Carlos da Rocha
Carvalho, Tiago de
Buzzi, Claudio Aguinaldo
dc.subject.por.fl_str_mv Sistemas dinâmicos descontínuos
Método averaging
Ciclo limite
topic Sistemas dinâmicos descontínuos
Método averaging
Ciclo limite
Piecewise-smooth dynamical systems
Method of averaging
Limit cycle
GEOMETRIA E TOPOLOGIA::SISTEMAS DINAMICOS
dc.subject.eng.fl_str_mv Piecewise-smooth dynamical systems
Method of averaging
Limit cycle
dc.subject.cnpq.fl_str_mv GEOMETRIA E TOPOLOGIA::SISTEMAS DINAMICOS
description The study under existence and uniqueness of limit cycles of equations systems differential is a very active research topic in the qualitative theory of dynamical systems. In this theme we study this topic in discontinuous dynamic systems. Let’s make this in Liénard differentials equation systems, allowing a line of discontinuity. Furthermore, we present the known method of Averaging firstly in your classic version, that is, for class fields at least C2, we study also to generalized version, to piecewise- smooth dynamical systems. As a result, we use this tool to determine the number of limit cycles that can bifurcate of a planar center, inside the equation Liénard differentials equation class.
publishDate 2016
dc.date.accessioned.fl_str_mv 2016-06-03T11:43:02Z
dc.date.issued.fl_str_mv 2016-03-04
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv Ruiz, J. J. J. Equações diferenciais de Liénard definidas em zonas. 2016. 89 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2016.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/5638
identifier_str_mv Ruiz, J. J. J. Equações diferenciais de Liénard definidas em zonas. 2016. 89 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2016.
url http://repositorio.bc.ufg.br/tede/handle/tede/5638
dc.language.iso.fl_str_mv por
language por
dc.relation.program.fl_str_mv 6600717948137941247
dc.relation.confidence.fl_str_mv 600
600
600
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dc.relation.department.fl_str_mv -4268777512335152015
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rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
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dc.publisher.none.fl_str_mv Universidade Federal de Goiás
dc.publisher.program.fl_str_mv Programa de Pós-graduação em Matemática (IME)
dc.publisher.initials.fl_str_mv UFG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Instituto de Matemática e Estatística - IME (RG)
publisher.none.fl_str_mv Universidade Federal de Goiás
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reponame_str Repositório Institucional da UFG
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