Canonical Forms for Codimension One Planar Piecewise Smooth Vector Fields with Sliding Region

Detalhes bibliográficos
Autor(a) principal: Carvalho, Tiago [UNESP]
Data de Publicação: 2018
Outros Autores: Cardoso, João Lopes, Tonon, Durval José
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s10884-017-9636-9
http://hdl.handle.net/11449/186861
Resumo: This paper is devoted to exhibit canonical forms for 2D codimension one piecewise smooth vector fields. All possible orientations and codimension one scenarios were covered. Also the intrinsic objects that characterize each one of the canonical forms were presented. As consequence, 62 canonical forms were obtained.
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spelling Canonical Forms for Codimension One Planar Piecewise Smooth Vector Fields with Sliding RegionBifurcationCanonical formsPiecewise smooth vector fieldsSingularityThis paper is devoted to exhibit canonical forms for 2D codimension one piecewise smooth vector fields. All possible orientations and codimension one scenarios were covered. Also the intrinsic objects that characterize each one of the canonical forms were presented. As consequence, 62 canonical forms were obtained.Departamento de Matemática Faculdade de Ciências UNESP, Av. Eng. Luiz Edmundo Carrijo Coube 14-01Institute of Mathematics and Statistics of Federal University of Goiás, Avenida Esperança s/n, Campus SamambaiaDepartamento de Matemática Faculdade de Ciências UNESP, Av. Eng. Luiz Edmundo Carrijo Coube 14-01Universidade Estadual Paulista (Unesp)Universidade Federal de Goiás (UFG)Carvalho, Tiago [UNESP]Cardoso, João LopesTonon, Durval José2019-10-06T15:17:57Z2019-10-06T15:17:57Z2018-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1899-1920http://dx.doi.org/10.1007/s10884-017-9636-9Journal of Dynamics and Differential Equations, v. 30, n. 4, p. 1899-1920, 2018.1572-92221040-7294http://hdl.handle.net/11449/18686110.1007/s10884-017-9636-92-s2.0-85040090038Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Dynamics and Differential Equationsinfo:eu-repo/semantics/openAccess2021-10-23T20:19:25Zoai:repositorio.unesp.br:11449/186861Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T20:19:25Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Canonical Forms for Codimension One Planar Piecewise Smooth Vector Fields with Sliding Region
title Canonical Forms for Codimension One Planar Piecewise Smooth Vector Fields with Sliding Region
spellingShingle Canonical Forms for Codimension One Planar Piecewise Smooth Vector Fields with Sliding Region
Carvalho, Tiago [UNESP]
Bifurcation
Canonical forms
Piecewise smooth vector fields
Singularity
title_short Canonical Forms for Codimension One Planar Piecewise Smooth Vector Fields with Sliding Region
title_full Canonical Forms for Codimension One Planar Piecewise Smooth Vector Fields with Sliding Region
title_fullStr Canonical Forms for Codimension One Planar Piecewise Smooth Vector Fields with Sliding Region
title_full_unstemmed Canonical Forms for Codimension One Planar Piecewise Smooth Vector Fields with Sliding Region
title_sort Canonical Forms for Codimension One Planar Piecewise Smooth Vector Fields with Sliding Region
author Carvalho, Tiago [UNESP]
author_facet Carvalho, Tiago [UNESP]
Cardoso, João Lopes
Tonon, Durval José
author_role author
author2 Cardoso, João Lopes
Tonon, Durval José
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade Federal de Goiás (UFG)
dc.contributor.author.fl_str_mv Carvalho, Tiago [UNESP]
Cardoso, João Lopes
Tonon, Durval José
dc.subject.por.fl_str_mv Bifurcation
Canonical forms
Piecewise smooth vector fields
Singularity
topic Bifurcation
Canonical forms
Piecewise smooth vector fields
Singularity
description This paper is devoted to exhibit canonical forms for 2D codimension one piecewise smooth vector fields. All possible orientations and codimension one scenarios were covered. Also the intrinsic objects that characterize each one of the canonical forms were presented. As consequence, 62 canonical forms were obtained.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-01
2019-10-06T15:17:57Z
2019-10-06T15:17:57Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/s10884-017-9636-9
Journal of Dynamics and Differential Equations, v. 30, n. 4, p. 1899-1920, 2018.
1572-9222
1040-7294
http://hdl.handle.net/11449/186861
10.1007/s10884-017-9636-9
2-s2.0-85040090038
url http://dx.doi.org/10.1007/s10884-017-9636-9
http://hdl.handle.net/11449/186861
identifier_str_mv Journal of Dynamics and Differential Equations, v. 30, n. 4, p. 1899-1920, 2018.
1572-9222
1040-7294
10.1007/s10884-017-9636-9
2-s2.0-85040090038
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Dynamics and Differential Equations
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1899-1920
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1799964449071693824

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