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Piecewise smooth vector fields in ℝ3 at infinity

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dc.contributor.authorPessoa, Claudio [UNESP]
dc.contributor.authorTonon, Durval J.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Federal de Goiás (UFG)
dc.date.accessioned2018-12-11T16:40:51Z
dc.date.available2018-12-11T16:40:51Z
dc.date.issued2014-11-25
dc.description.abstractIn this work we study the dynamics at infinity of a piecewise smooth vector fields in ℝ3. We provide conditions for the 24-parameter family to undergo a local bifurcations of codimension zero and one at infinity. These results can be useful to understand the global dynamics of piecewise smooth vector fields. In addition, we apply our results to two families of systems from control theory, in one of them studying the existence of limit cycles at infinity.en
dc.description.affiliationUNESP-IBILCE, Rua C. Colombo, 2265
dc.description.affiliationUniversidade Federal de Goiás IME, Caixa Postal 131
dc.description.affiliationUnespUNESP-IBILCE, Rua C. Colombo, 2265
dc.description.sponsorshipUniversidade Federal de Goiás
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIdUniversidade Federal de Goiás: 040393
dc.description.sponsorshipIdFAPESP: 2011/13152-8
dc.description.sponsorshipIdUniversidade Federal de Goiás: 2012/10 26 7000 803
dc.description.sponsorshipIdUniversidade Federal de Goiás: 35796
dc.description.sponsorshipIdUniversidade Federal de Goiás: 35798
dc.description.sponsorshipIdCNPq: 478230/2013-3
dc.description.sponsorshipIdCAPES: 8333/13-0
dc.format.extent841-855
dc.identifierhttp://dx.doi.org/10.1016/j.jmaa.2015.02.008
dc.identifier.citationJournal of Mathematical Analysis and Applications, v. 427, n. 2, p. 841-855, 2014.
dc.identifier.doi10.1016/j.jmaa.2015.02.008
dc.identifier.issn1096-0813
dc.identifier.issn0022-247X
dc.identifier.lattes3724937886557424
dc.identifier.orcid0000-0001-6790-1055
dc.identifier.scopus2-s2.0-84955732246
dc.identifier.urihttp://hdl.handle.net/11449/168336
dc.language.isoeng
dc.relation.ispartofJournal of Mathematical Analysis and Applications
dc.relation.ispartofsjr1,103
dc.rights.accessRightsAcesso restritopt
dc.sourceScopus
dc.subjectLocal and global bifurcations
dc.subjectPiecewise smooth vector fields
dc.subjectPoincaré compactification
dc.titlePiecewise smooth vector fields in ℝ3 at infinityen
dc.typeArtigopt
dspace.entity.typePublication
unesp.author.lattes3724937886557424[1]
unesp.author.orcid0000-0001-6790-1055[1]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas