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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.institutionUniv Autonoma Barcelona
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2014-05-20T15:33:30Z
dc.date.available2014-05-20T15:33:30Z
dc.date.issued2008-01-01
dc.description.abstractThis paper concerns differential equation systems on R(n) with discontinuous right-hand sides. We deal with non-smooth vector fields in R(n) 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.affiliationUniv Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
dc.description.affiliationUniv Estadual Paulista, IBILCE, BR-15054000 São Paulo, Brazil
dc.description.affiliationUniv Estadual Campinas, IMECC, BR-13081970 Campinas, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, IBILCE, BR-15054000 São Paulo, Brazil
dc.description.sponsorshipMCYT/FEDER
dc.description.sponsorshipCICYT
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdMCYT/FEDER: MTM2005-06098-C02-01
dc.description.sponsorshipIdCICYT: 2005SGR 00550
dc.format.extent851-869
dc.identifierhttp://projecteuclid.org/euclid.bbms/1228486412
dc.identifier.citationBulletin of The Belgian Mathematical Society-simon Stevin. Brussels: Belgian Mathematical Soc Triomphe, v. 15, n. 5, p. 851-869, 2008.
dc.identifier.issn1370-1444
dc.identifier.urihttp://hdl.handle.net/11449/42097
dc.identifier.wosWOS:000262617100008
dc.language.isoeng
dc.publisherBelgian Mathematical Soc Triomphe
dc.relation.ispartofBulletin of the Belgian Mathematical Society - Simon Stevin
dc.relation.ispartofjcr0.423
dc.relation.ispartofsjr0,527
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectRegularizationen
dc.subjectvector fieldsen
dc.subjectsingular perturbationen
dc.subjectdiscontinuous vector fieldsen
dc.subjectsliding vector fieldsen
dc.titleSliding Vector Fields via Slow-Fast Systemsen
dc.typeArtigo
dcterms.licensehttp://www.dukeupress.edu/Assets/Downloads/dup_license_prime.pdf
dcterms.rightsHolderBelgian Mathematical Soc Triomphe
dspace.entity.typePublication

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