Sliding vector fields via slow-fast systems

Bibliographic Details
Main Author: Llibre, Jaume
Publication Date: 2008
Other Authors: Da Silva, Paulo R. [UNESP], Teixeira, Marco A.
Format: Article
Language: eng
Source: Repositório Institucional da UNESP
Download full: http://dx.doi.org/10.36045/bbms/1228486412
http://hdl.handle.net/11449/225394
Summary: This paper concerns differential equation systems on ℝn with discontinuous right-hand sides. We deal with non-smooth vector fields in ℝ having a codimension-one submanifold M as its discontinuity set. After a regularization of a such system and a global blow-up we are able to bring out some results that bridge the space between discontinuous systems and singularly perturbed smooth systems.
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spelling Sliding vector fields via slow-fast systemsDiscontinuous vector fieldsRegularizationSingular perturbationSliding vector fieldsVector fieldsThis paper concerns differential equation systems on ℝn with discontinuous right-hand sides. We deal with non-smooth vector fields in ℝ having a codimension-one submanifold M as its discontinuity set. After a regularization of a such system and a global blow-up we are able to bring out some results that bridge the space between discontinuous systems and singularly perturbed smooth systems.Departament de Matemàtiques Universitat Autònoma de Barcelona, 08193 Bellaterra, BarcelonaDepartamento de Matemática IBILCE-UNESP, Rua C. Colombo, 2265, CEP 15054-000 S. J. Rio Preto, São PauloIMECC-UNICAMP, CEP 13081-970, Campinas, São PauloDepartamento de Matemática IBILCE-UNESP, Rua C. Colombo, 2265, CEP 15054-000 S. J. Rio Preto, São PauloUniversitat Autònoma de BarcelonaUniversidade Estadual Paulista (UNESP)Universidade Estadual de Campinas (UNICAMP)Llibre, JaumeDa Silva, Paulo R. [UNESP]Teixeira, Marco A.2022-04-28T20:48:15Z2022-04-28T20:48:15Z2008-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article851-869http://dx.doi.org/10.36045/bbms/1228486412Bulletin of the Belgian Mathematical Society - Simon Stevin, v. 15, n. 5, p. 851-869, 2008.1370-1444http://hdl.handle.net/11449/22539410.36045/bbms/12284864122-s2.0-58249118941Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBulletin of the Belgian Mathematical Society - Simon Stevininfo:eu-repo/semantics/openAccess2024-11-01T14:26:55Zoai:repositorio.unesp.br:11449/225394Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462025-03-28T14:32:01.820483Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Sliding vector fields via slow-fast systems
title Sliding vector fields via slow-fast systems
spellingShingle Sliding vector fields via slow-fast systems
Llibre, Jaume
Discontinuous vector fields
Regularization
Singular perturbation
Sliding vector fields
Vector fields
title_short Sliding vector fields via slow-fast systems
title_full Sliding vector fields via slow-fast systems
title_fullStr Sliding vector fields via slow-fast systems
title_full_unstemmed Sliding vector fields via slow-fast systems
title_sort Sliding vector fields via slow-fast systems
author Llibre, Jaume
author_facet Llibre, Jaume
Da Silva, Paulo R. [UNESP]
Teixeira, Marco A.
author_role author
author2 Da Silva, Paulo R. [UNESP]
Teixeira, Marco A.
author2_role author
author
dc.contributor.none.fl_str_mv Universitat Autònoma de Barcelona
Universidade Estadual Paulista (UNESP)
Universidade Estadual de Campinas (UNICAMP)
dc.contributor.author.fl_str_mv Llibre, Jaume
Da Silva, Paulo R. [UNESP]
Teixeira, Marco A.
dc.subject.por.fl_str_mv Discontinuous vector fields
Regularization
Singular perturbation
Sliding vector fields
Vector fields
topic Discontinuous vector fields
Regularization
Singular perturbation
Sliding vector fields
Vector fields
description This paper concerns differential equation systems on ℝn with discontinuous right-hand sides. We deal with non-smooth vector fields in ℝ having a codimension-one submanifold M as its discontinuity set. After a regularization of a such system and a global blow-up we are able to bring out some results that bridge the space between discontinuous systems and singularly perturbed smooth systems.
publishDate 2008
dc.date.none.fl_str_mv 2008-01-01
2022-04-28T20:48:15Z
2022-04-28T20:48:15Z
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/10.36045/bbms/1228486412
Bulletin of the Belgian Mathematical Society - Simon Stevin, v. 15, n. 5, p. 851-869, 2008.
1370-1444
http://hdl.handle.net/11449/225394
10.36045/bbms/1228486412
2-s2.0-58249118941
url http://dx.doi.org/10.36045/bbms/1228486412
http://hdl.handle.net/11449/225394
identifier_str_mv Bulletin of the Belgian Mathematical Society - Simon Stevin, v. 15, n. 5, p. 851-869, 2008.
1370-1444
10.36045/bbms/1228486412
2-s2.0-58249118941
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Bulletin of the Belgian Mathematical Society - Simon Stevin
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 851-869
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_ 1834483973947916288

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