Sliding vector fields via slow-fast systems

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dc.contributor.authorLlibre, Jaume
dc.contributor.authorDa Silva, Paulo R. [UNESP]
dc.contributor.authorTeixeira, Marco A.
dc.contributor.institutionUniversitat Autònoma de Barcelona
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2022-04-28T20:48:15Z
dc.date.available2022-04-28T20:48:15Z
dc.date.issued2008-01-01
dc.description.abstractThis 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.en
dc.description.affiliationDepartament de Matemàtiques Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona
dc.description.affiliationDepartamento de Matemática IBILCE-UNESP, Rua C. Colombo, 2265, CEP 15054-000 S. J. Rio Preto, São Paulo
dc.description.affiliationIMECC-UNICAMP, CEP 13081-970, Campinas, São Paulo
dc.description.affiliationUnespDepartamento de Matemática IBILCE-UNESP, Rua C. Colombo, 2265, CEP 15054-000 S. J. Rio Preto, São Paulo
dc.format.extent851-869
dc.identifierhttp://dx.doi.org/10.36045/bbms/1228486412
dc.identifier.citationBulletin of the Belgian Mathematical Society - Simon Stevin, v. 15, n. 5, p. 851-869, 2008.
dc.identifier.doi10.36045/bbms/1228486412
dc.identifier.issn1370-1444
dc.identifier.scopus2-s2.0-58249118941
dc.identifier.urihttp://hdl.handle.net/11449/225394
dc.language.isoeng
dc.relation.ispartofBulletin of the Belgian Mathematical Society - Simon Stevin
dc.sourceScopus
dc.subjectDiscontinuous vector fields
dc.subjectRegularization
dc.subjectSingular perturbation
dc.subjectSliding vector fields
dc.subjectVector fields
dc.titleSliding vector fields via slow-fast systemsen
dc.typeArtigo

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