A qualitative study of planar piecewise smooth vector fields

Detalhes bibliográficos
Autor(a) principal: Cardoso Filho, João Lopes
Data de Publicação: 2018
Tipo de documento: Tese
Idioma: eng
Título da fonte: Repositório Institucional da UFG
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/8577
Resumo: In this work we exhibit canonical forms for 2D codimension one piecewise smooth vector Fields (PSVF). All possible orientations and codimension one scenarios were covered. Also the intrinsic objects that characterize each one of the canonical forms were presented. Also we present topological distinct canonical forms for a larger class for symmetric PSVF where the set of fixed points is contained in the variety os discontinuity. Finally we analyze the simultaneous occurrence of sliding and crossing limit cycle in the case where the piecewise linear vector fields presents a continuum of periodic orbits.
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spelling Tonon, Durval Joséhttp://lattes.cnpq.br/3688981956532711Tonon, Durval JoséMedrado, João Carlos da RochaEuzébio, Rodrigo DonizeteBuzzi, Cláudio AguinaldoMartins, Ricardo Mirandahttp://lattes.cnpq.br/1566608534987668Cardoso Filho, João Lopes2018-06-15T10:25:16Z2018-05-18CARDOSO FILHO, J. L. A qualitative study of planar piecewise smooth vector fields. 2018. 110 f. Tese (Doutorado em Matemática) - Universidade Federal de Goiás, Goiânia, 2018.http://repositorio.bc.ufg.br/tede/handle/tede/8577In this work we exhibit canonical forms for 2D codimension one piecewise smooth vector Fields (PSVF). All possible orientations and codimension one scenarios were covered. Also the intrinsic objects that characterize each one of the canonical forms were presented. Also we present topological distinct canonical forms for a larger class for symmetric PSVF where the set of fixed points is contained in the variety os discontinuity. Finally we analyze the simultaneous occurrence of sliding and crossing limit cycle in the case where the piecewise linear vector fields presents a continuum of periodic orbits.Neste trabalho exibiremos inicialmente as formas canônicas para campos vetoriais suaves por partes (PSVF) no plano. Todas os possíveis cenários de codimensão um são abordados. Também apresentamos formas canônicas topologicamente distintas para uma classe de PSVF com simetria onde o conjunto de pontos fixos está contido na variedade de descontinuidade. Finalmente, analisaremos a ocorrência simultânea de ciclos limite costurantes e deslizantes no caso linear por partes que apresentam um contínuo de órbitas periódicas.Submitted by Liliane Ferreira (ljuvencia30@gmail.com) on 2018-06-14T11:12:47Z No. of bitstreams: 2 Tese - João Lopes Cardoso Filho - 2018.pdf: 1729607 bytes, checksum: 8279e98ec23b68bab062f8c812957bf4 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2018-06-15T10:25:16Z (GMT) No. of bitstreams: 2 Tese - João Lopes Cardoso Filho - 2018.pdf: 1729607 bytes, checksum: 8279e98ec23b68bab062f8c812957bf4 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Made available in DSpace on 2018-06-15T10:25:16Z (GMT). No. of bitstreams: 2 Tese - João Lopes Cardoso Filho - 2018.pdf: 1729607 bytes, checksum: 8279e98ec23b68bab062f8c812957bf4 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2018-05-18Fundação de Amparo à Pesquisa do Estado de Goiás - FAPEGapplication/pdfengUniversidade Federal de GoiásPrograma de Pós-graduação em Matemática (IME)UFGBrasilInstituto de Matemática e Estatística - IME (RG)http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessCampos de vetores suaves por partesFormas normaisCampos com simetriaCiclos limiteBifurcaçõesPiecewise smooth vector fieldsNormal formsSymmetric vector fieldsLimit cyclesBifurcationCIENCIAS EXATAS E DA TERRA::MATEMATICAA qualitative study of planar piecewise smooth vector fieldsUm estudo qualitativo de campos de vetores suaves por partes no planoinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesis6600717948137941247600600600600-4268777512335152015-7090823417984401694-961409807440757778reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGORIGINALTese - João Lopes Cardoso Filho - 2018.pdfTese - João Lopes Cardoso Filho - 2018.pdfapplication/pdf1729607http://repositorio.bc.ufg.br/tede/bitstreams/2039cb7a-ea1e-4937-a11c-cb458a5475e1/download8279e98ec23b68bab062f8c812957bf4MD55LICENSElicense.txtlicense.txttext/plain; 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dc.title.eng.fl_str_mv A qualitative study of planar piecewise smooth vector fields
dc.title.alternative.por.fl_str_mv Um estudo qualitativo de campos de vetores suaves por partes no plano
title A qualitative study of planar piecewise smooth vector fields
spellingShingle A qualitative study of planar piecewise smooth vector fields
Cardoso Filho, João Lopes
Campos de vetores suaves por partes
Formas normais
Campos com simetria
Ciclos limite
Bifurcações
Piecewise smooth vector fields
Normal forms
Symmetric vector fields
Limit cycles
Bifurcation
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short A qualitative study of planar piecewise smooth vector fields
title_full A qualitative study of planar piecewise smooth vector fields
title_fullStr A qualitative study of planar piecewise smooth vector fields
title_full_unstemmed A qualitative study of planar piecewise smooth vector fields
title_sort A qualitative study of planar piecewise smooth vector fields
author Cardoso Filho, João Lopes
author_facet Cardoso Filho, João Lopes
author_role author
dc.contributor.advisor1.fl_str_mv Tonon, Durval José
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/3688981956532711
dc.contributor.referee1.fl_str_mv Tonon, Durval José
dc.contributor.referee2.fl_str_mv Medrado, João Carlos da Rocha
dc.contributor.referee3.fl_str_mv Euzébio, Rodrigo Donizete
dc.contributor.referee4.fl_str_mv Buzzi, Cláudio Aguinaldo
dc.contributor.referee5.fl_str_mv Martins, Ricardo Miranda
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/1566608534987668
dc.contributor.author.fl_str_mv Cardoso Filho, João Lopes
contributor_str_mv Tonon, Durval José
Tonon, Durval José
Medrado, João Carlos da Rocha
Euzébio, Rodrigo Donizete
Buzzi, Cláudio Aguinaldo
Martins, Ricardo Miranda
dc.subject.por.fl_str_mv Campos de vetores suaves por partes
Formas normais
Campos com simetria
Ciclos limite
Bifurcações
topic Campos de vetores suaves por partes
Formas normais
Campos com simetria
Ciclos limite
Bifurcações
Piecewise smooth vector fields
Normal forms
Symmetric vector fields
Limit cycles
Bifurcation
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Piecewise smooth vector fields
Normal forms
Symmetric vector fields
Limit cycles
Bifurcation
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description In this work we exhibit canonical forms for 2D codimension one piecewise smooth vector Fields (PSVF). All possible orientations and codimension one scenarios were covered. Also the intrinsic objects that characterize each one of the canonical forms were presented. Also we present topological distinct canonical forms for a larger class for symmetric PSVF where the set of fixed points is contained in the variety os discontinuity. Finally we analyze the simultaneous occurrence of sliding and crossing limit cycle in the case where the piecewise linear vector fields presents a continuum of periodic orbits.
publishDate 2018
dc.date.accessioned.fl_str_mv 2018-06-15T10:25:16Z
dc.date.issued.fl_str_mv 2018-05-18
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv CARDOSO FILHO, J. L. A qualitative study of planar piecewise smooth vector fields. 2018. 110 f. Tese (Doutorado em Matemática) - Universidade Federal de Goiás, Goiânia, 2018.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/8577
identifier_str_mv CARDOSO FILHO, J. L. A qualitative study of planar piecewise smooth vector fields. 2018. 110 f. Tese (Doutorado em Matemática) - Universidade Federal de Goiás, Goiânia, 2018.
url http://repositorio.bc.ufg.br/tede/handle/tede/8577
dc.language.iso.fl_str_mv eng
language eng
dc.relation.program.fl_str_mv 6600717948137941247
dc.relation.confidence.fl_str_mv 600
600
600
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dc.rights.driver.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFG
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instacron:UFG
instname_str Universidade Federal de Goiás (UFG)
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institution UFG
reponame_str Repositório Institucional da UFG
collection Repositório Institucional da UFG
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