Structural stability and normal forms of piecewise smooth vector fields on R-3

Detalhes bibliográficos
Autor(a) principal: De Carvalho, Tiago [UNESP]
Data de Publicação: 2015
Outros Autores: Tonon, Durval Jose
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.5486/PMD.2015.5948
http://hdl.handle.net/11449/161047
Resumo: The main goal of this paper is to exhibit normal forms of generic locally structurally stable piecewise smooth vector fields on R-3. Besides, we construct the homeomorphism that gives the topological equivalence between an element of a locally structurally stable subset of piecewise smooth vector fields and its respective C-0-normal form.
id UNSP_1ee405b972d397320651a882bdae5dff
oai_identifier_str oai:repositorio.unesp.br:11449/161047
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Structural stability and normal forms of piecewise smooth vector fields on R-3normal formsstructural stabilitysingularitypiecewise smooth vector fieldsbifurcationThe main goal of this paper is to exhibit normal forms of generic locally structurally stable piecewise smooth vector fields on R-3. Besides, we construct the homeomorphism that gives the topological equivalence between an element of a locally structurally stable subset of piecewise smooth vector fields and its respective C-0-normal form.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)FAPEG-BrazilConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)UFGUNESP, Dept Matemat, Fac Ciencias, BR-17033360 Bauru, SP, BrazilUniv Fed Goias, Inst Matemat & Estat, BR-74001970 Goiania, Go, BrazilUNESP, Dept Matemat, Fac Ciencias, BR-17033360 Bauru, SP, BrazilFAPESP: 2012/00481-6FAPESP: 2014/02134-7CAPES: 88881.030454/2013-01FAPEG-Brazil: 2012/10 26 7000 803CNPq: 478230/2013-3CNPq: 443302/2014-6UFG: 35796UFG: 35798UFG: 040393Kossuth Lajos TudomanyegyetemUniversidade Estadual Paulista (Unesp)Universidade Federal de Goiás (UFG)De Carvalho, Tiago [UNESP]Tonon, Durval Jose2018-11-26T16:18:56Z2018-11-26T16:18:56Z2015-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article255-274application/pdfhttp://dx.doi.org/10.5486/PMD.2015.5948Publicationes Mathematicae-debrecen. Debrecen: Kossuth Lajos Tudomanyegyetem, v. 86, n. 3-4, p. 255-274, 2015.0033-3883http://hdl.handle.net/11449/16104710.5486/PMD.2015.5948WOS:000366463200001WOS000366463200001.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPublicationes Mathematicae-debrecen0,369info:eu-repo/semantics/openAccess2024-04-29T14:59:27Zoai:repositorio.unesp.br:11449/161047Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:14:54.605165Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Structural stability and normal forms of piecewise smooth vector fields on R-3
title Structural stability and normal forms of piecewise smooth vector fields on R-3
spellingShingle Structural stability and normal forms of piecewise smooth vector fields on R-3
De Carvalho, Tiago [UNESP]
normal forms
structural stability
singularity
piecewise smooth vector fields
bifurcation
title_short Structural stability and normal forms of piecewise smooth vector fields on R-3
title_full Structural stability and normal forms of piecewise smooth vector fields on R-3
title_fullStr Structural stability and normal forms of piecewise smooth vector fields on R-3
title_full_unstemmed Structural stability and normal forms of piecewise smooth vector fields on R-3
title_sort Structural stability and normal forms of piecewise smooth vector fields on R-3
author De Carvalho, Tiago [UNESP]
author_facet De Carvalho, Tiago [UNESP]
Tonon, Durval Jose
author_role author
author2 Tonon, Durval Jose
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade Federal de Goiás (UFG)
dc.contributor.author.fl_str_mv De Carvalho, Tiago [UNESP]
Tonon, Durval Jose
dc.subject.por.fl_str_mv normal forms
structural stability
singularity
piecewise smooth vector fields
bifurcation
topic normal forms
structural stability
singularity
piecewise smooth vector fields
bifurcation
description The main goal of this paper is to exhibit normal forms of generic locally structurally stable piecewise smooth vector fields on R-3. Besides, we construct the homeomorphism that gives the topological equivalence between an element of a locally structurally stable subset of piecewise smooth vector fields and its respective C-0-normal form.
publishDate 2015
dc.date.none.fl_str_mv 2015-01-01
2018-11-26T16:18:56Z
2018-11-26T16:18:56Z
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/10.5486/PMD.2015.5948
Publicationes Mathematicae-debrecen. Debrecen: Kossuth Lajos Tudomanyegyetem, v. 86, n. 3-4, p. 255-274, 2015.
0033-3883
http://hdl.handle.net/11449/161047
10.5486/PMD.2015.5948
WOS:000366463200001
WOS000366463200001.pdf
url http://dx.doi.org/10.5486/PMD.2015.5948
http://hdl.handle.net/11449/161047
identifier_str_mv Publicationes Mathematicae-debrecen. Debrecen: Kossuth Lajos Tudomanyegyetem, v. 86, n. 3-4, p. 255-274, 2015.
0033-3883
10.5486/PMD.2015.5948
WOS:000366463200001
WOS000366463200001.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Publicationes Mathematicae-debrecen
0,369
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 255-274
application/pdf
dc.publisher.none.fl_str_mv Kossuth Lajos Tudomanyegyetem
publisher.none.fl_str_mv Kossuth Lajos Tudomanyegyetem
dc.source.none.fl_str_mv Web of Science
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_ 1808128336186048512

Registros relacionados