Ciclos limite em sistemas lineares suaves por parte
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Repositório Institucional da UFG |
Texto Completo: | http://repositorio.bc.ufg.br/tede/handle/tede/8235 |
Resumo: | In this work we will study limit cycles in piecewise smooth linear systems. We begin studying the case where the separation curve is a polygonal and we give an example of a system having seven limit cycles. The existence of an arbitrary number of limit cycles is also proved for these systems, as well as an example of a system with 10 limit cycles. The existence of n limit cycles, n 2 N, is also studied through a perturbation in the separation curve. Finally, we study limit cycles in planar piecewise linear systems presenting a twofold singularity in R2, as well as limit cycles sorrounding a T-singularity. |
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Euzébio, Rodrigo Donizetehttp://lattes.cnpq.br/9213320273714493Buzzi, Claudio AguinaldoTonon, Durval JoséEuzébio, Rodrigo Donizetehttp://lattes.cnpq.br/1133726890707075Silva, Ana Maria Alves da2018-03-20T10:20:02Z2018-03-07SILVA, Ana Maria Alves da. Ciclos limite em sistemas lineares suaves por parte. 2018. 116 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2018.http://repositorio.bc.ufg.br/tede/handle/tede/8235In this work we will study limit cycles in piecewise smooth linear systems. We begin studying the case where the separation curve is a polygonal and we give an example of a system having seven limit cycles. The existence of an arbitrary number of limit cycles is also proved for these systems, as well as an example of a system with 10 limit cycles. The existence of n limit cycles, n 2 N, is also studied through a perturbation in the separation curve. Finally, we study limit cycles in planar piecewise linear systems presenting a twofold singularity in R2, as well as limit cycles sorrounding a T-singularity.Neste trabalho estudaremos ciclos limite em sistemas lineares suaves por partes. Iniciamos estudando o caso em que a zona de descontinuidade é uma poligonal e fornecemos um exemplo de um sistema com sete ciclos limite. A existência de uma quantidade arbitrária n de ciclos limite para tais sistemas também é provada, assim como fornecemos um exemplo de um sistema com 10 ciclos limite. A existência de n ciclos limite, n 2 N, também é estudada através de uma pertubação na zona de descontinuidade. Por fim, estudamos ciclos limite em sistemas lineares suaves planares com equilíbrios do tipo dobra-dobra em R2, bem como ciclos limite em torno de uma T-singularidade.Submitted by Franciele Moreira (francielemoreyra@gmail.com) on 2018-03-19T13:29:18Z No. of bitstreams: 2 Dissertação - Ana Maria Alves da Silva - 2018.pdf: 3230446 bytes, checksum: c48f203ce76ba32ab0a57f302c79d375 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2018-03-20T10:20:02Z (GMT) No. of bitstreams: 2 Dissertação - Ana Maria Alves da Silva - 2018.pdf: 3230446 bytes, checksum: c48f203ce76ba32ab0a57f302c79d375 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Made available in DSpace on 2018-03-20T10:20:02Z (GMT). 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dc.title.eng.fl_str_mv |
Ciclos limite em sistemas lineares suaves por parte |
dc.title.alternative.eng.fl_str_mv |
Limit cycles in discontinuous piecewise linear systems |
title |
Ciclos limite em sistemas lineares suaves por parte |
spellingShingle |
Ciclos limite em sistemas lineares suaves por parte Silva, Ana Maria Alves da Ciclos limite T-singularidade Sistemas lineares suaves por partes Piecewise smooth linear systems Limit cycles T- singularity GEOMETRIA E TOPOLOGIA::SISTEMAS DINAMICOS |
title_short |
Ciclos limite em sistemas lineares suaves por parte |
title_full |
Ciclos limite em sistemas lineares suaves por parte |
title_fullStr |
Ciclos limite em sistemas lineares suaves por parte |
title_full_unstemmed |
Ciclos limite em sistemas lineares suaves por parte |
title_sort |
Ciclos limite em sistemas lineares suaves por parte |
author |
Silva, Ana Maria Alves da |
author_facet |
Silva, Ana Maria Alves da |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Euzébio, Rodrigo Donizete |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/9213320273714493 |
dc.contributor.referee1.fl_str_mv |
Buzzi, Claudio Aguinaldo |
dc.contributor.referee2.fl_str_mv |
Tonon, Durval José |
dc.contributor.referee3.fl_str_mv |
Euzébio, Rodrigo Donizete |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/1133726890707075 |
dc.contributor.author.fl_str_mv |
Silva, Ana Maria Alves da |
contributor_str_mv |
Euzébio, Rodrigo Donizete Buzzi, Claudio Aguinaldo Tonon, Durval José Euzébio, Rodrigo Donizete |
dc.subject.por.fl_str_mv |
Ciclos limite T-singularidade Sistemas lineares suaves por partes |
topic |
Ciclos limite T-singularidade Sistemas lineares suaves por partes Piecewise smooth linear systems Limit cycles T- singularity GEOMETRIA E TOPOLOGIA::SISTEMAS DINAMICOS |
dc.subject.eng.fl_str_mv |
Piecewise smooth linear systems Limit cycles T- singularity |
dc.subject.cnpq.fl_str_mv |
GEOMETRIA E TOPOLOGIA::SISTEMAS DINAMICOS |
description |
In this work we will study limit cycles in piecewise smooth linear systems. We begin studying the case where the separation curve is a polygonal and we give an example of a system having seven limit cycles. The existence of an arbitrary number of limit cycles is also proved for these systems, as well as an example of a system with 10 limit cycles. The existence of n limit cycles, n 2 N, is also studied through a perturbation in the separation curve. Finally, we study limit cycles in planar piecewise linear systems presenting a twofold singularity in R2, as well as limit cycles sorrounding a T-singularity. |
publishDate |
2018 |
dc.date.accessioned.fl_str_mv |
2018-03-20T10:20:02Z |
dc.date.issued.fl_str_mv |
2018-03-07 |
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 |
SILVA, Ana Maria Alves da. Ciclos limite em sistemas lineares suaves por parte. 2018. 116 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2018. |
dc.identifier.uri.fl_str_mv |
http://repositorio.bc.ufg.br/tede/handle/tede/8235 |
identifier_str_mv |
SILVA, Ana Maria Alves da. Ciclos limite em sistemas lineares suaves por parte. 2018. 116 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2018. |
url |
http://repositorio.bc.ufg.br/tede/handle/tede/8235 |
dc.language.iso.fl_str_mv |
por |
language |
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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http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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openAccess |
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Universidade Federal de Goiás |
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UFG |
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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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