Asymptotic stability and bifurcations of 3D piecewise smooth vector fields
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2016 |
| Outros Autores: | , |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional da UNESP |
| Texto Completo: | http://dx.doi.org/10.1007/s00033-015-0603-1 http://hdl.handle.net/11449/168549 |
Resumo: | The paper deals with the analysis of the behavior of a nonsmooth three-dimensional vector field around a typal singularity. We focus on a class of generic one-parameter families (Formula presented.) of Filippov systems and address the persistence problem for the asymptotic stability when the parameter varies near the bifurcation value (Formula presented.). |
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Asymptotic stability and bifurcations of 3D piecewise smooth vector fieldsAsymptotic stabilityCusp-fold singularityPiecewise smooth vector fieldsThe paper deals with the analysis of the behavior of a nonsmooth three-dimensional vector field around a typal singularity. We focus on a class of generic one-parameter families (Formula presented.) of Filippov systems and address the persistence problem for the asymptotic stability when the parameter varies near the bifurcation value (Formula presented.).FC–UNESPIMECC–UNICAMPUFSCar-campus SorocabaIME-UFGFC–UNESPUniversidade Estadual Paulista (Unesp)Universidade Estadual de Campinas (UNICAMP)Universidade Federal de São Carlos (UFSCar)IME-UFGCarvalho, Tiago [UNESP]Teixeira, Marco AntônioTonon, Durval José2018-12-11T16:41:44Z2018-12-11T16:41:44Z2016-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1007/s00033-015-0603-1Zeitschrift fur Angewandte Mathematik und Physik, v. 67, n. 2, 2016.0044-2275http://hdl.handle.net/11449/16854910.1007/s00033-015-0603-12-s2.0-849627358012-s2.0-84962735801.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengZeitschrift fur Angewandte Mathematik und Physik0,828info:eu-repo/semantics/openAccess2025-06-24T07:00:02Zoai:repositorio.unesp.br:11449/168549Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462025-06-24T07:00:02Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
| dc.title.none.fl_str_mv |
Asymptotic stability and bifurcations of 3D piecewise smooth vector fields |
| title |
Asymptotic stability and bifurcations of 3D piecewise smooth vector fields |
| spellingShingle |
Asymptotic stability and bifurcations of 3D piecewise smooth vector fields Carvalho, Tiago [UNESP] Asymptotic stability Cusp-fold singularity Piecewise smooth vector fields |
| title_short |
Asymptotic stability and bifurcations of 3D piecewise smooth vector fields |
| title_full |
Asymptotic stability and bifurcations of 3D piecewise smooth vector fields |
| title_fullStr |
Asymptotic stability and bifurcations of 3D piecewise smooth vector fields |
| title_full_unstemmed |
Asymptotic stability and bifurcations of 3D piecewise smooth vector fields |
| title_sort |
Asymptotic stability and bifurcations of 3D piecewise smooth vector fields |
| author |
Carvalho, Tiago [UNESP] |
| author_facet |
Carvalho, Tiago [UNESP] Teixeira, Marco Antônio Tonon, Durval José |
| author_role |
author |
| author2 |
Teixeira, Marco Antônio Tonon, Durval José |
| author2_role |
author author |
| dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Universidade Estadual de Campinas (UNICAMP) Universidade Federal de São Carlos (UFSCar) IME-UFG |
| dc.contributor.author.fl_str_mv |
Carvalho, Tiago [UNESP] Teixeira, Marco Antônio Tonon, Durval José |
| dc.subject.por.fl_str_mv |
Asymptotic stability Cusp-fold singularity Piecewise smooth vector fields |
| topic |
Asymptotic stability Cusp-fold singularity Piecewise smooth vector fields |
| description |
The paper deals with the analysis of the behavior of a nonsmooth three-dimensional vector field around a typal singularity. We focus on a class of generic one-parameter families (Formula presented.) of Filippov systems and address the persistence problem for the asymptotic stability when the parameter varies near the bifurcation value (Formula presented.). |
| publishDate |
2016 |
| dc.date.none.fl_str_mv |
2016-04-01 2018-12-11T16:41:44Z 2018-12-11T16:41:44Z |
| 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/s00033-015-0603-1 Zeitschrift fur Angewandte Mathematik und Physik, v. 67, n. 2, 2016. 0044-2275 http://hdl.handle.net/11449/168549 10.1007/s00033-015-0603-1 2-s2.0-84962735801 2-s2.0-84962735801.pdf |
| url |
http://dx.doi.org/10.1007/s00033-015-0603-1 http://hdl.handle.net/11449/168549 |
| identifier_str_mv |
Zeitschrift fur Angewandte Mathematik und Physik, v. 67, n. 2, 2016. 0044-2275 10.1007/s00033-015-0603-1 2-s2.0-84962735801 2-s2.0-84962735801.pdf |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
Zeitschrift fur Angewandte Mathematik und Physik 0,828 |
| dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| 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 |
repositoriounesp@unesp.br |
| _version_ |
1854949375162187776 |