Equações diferenciais de Liénard definidas em zonas
Autor(a) principal: | |
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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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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 |
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por |
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6600717948137941247 |
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600 600 600 600 |
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-4268777512335152015 |
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1858387081509645909 |
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dc.rights.driver.fl_str_mv |
http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess |
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http://creativecommons.org/licenses/by/4.0/ |
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openAccess |
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Universidade Federal de Goiás |
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Programa de Pós-graduação em Matemática (IME) |
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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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