Publicação:
LIMIT CYCLES of DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS

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dc.contributor.authorCardin, Pedro Toniol [UNESP]
dc.contributor.authorDe Carvalho, Tiago [UNESP]
dc.contributor.authorLlibre, Jaume
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Autonoma Barcelona
dc.date.accessioned2014-05-20T13:26:36Z
dc.date.available2014-05-20T13:26:36Z
dc.date.issued2011-11-01
dc.description.abstractWe study the bifurcation of limit cycles from the periodic orbits of a two-dimensional (resp. four-dimensional) linear center in R(n) perturbed inside a class of discontinuous piecewise linear differential systems. Our main result shows that at most 1 (resp. 3) limit cycle can bifurcate up to first-order expansion of the displacement function with respect to the small parameter. This upper bound is reached. For proving these results, we use the averaging theory in a form where the differentiability of the system is not needed.en
dc.description.affiliationIBILCE UNESP, Dept Matemat, BR-15054000 São Paulo, Brazil
dc.description.affiliationUniv Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
dc.description.affiliationUnespIBILCE UNESP, Dept Matemat, BR-15054000 São Paulo, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipMICIIN
dc.description.sponsorshipGeneralitat of Catalonia
dc.description.sponsorshipICREA Academia
dc.description.sponsorshipIdFAPESP: 07/07957-8
dc.description.sponsorshipIdFAPESP: 07/08707-5
dc.description.sponsorshipIdMICIIN: MTM2008-03437
dc.description.sponsorshipIdGeneralitat of Catalonia: SGR2009-410
dc.format.extent3181-3194
dc.identifierhttp://dx.doi.org/10.1142/S0218127411030441
dc.identifier.citationInternational Journal of Bifurcation and Chaos. Singapore: World Scientific Publ Co Pte Ltd, v. 21, n. 11, p. 3181-3194, 2011.
dc.identifier.doi10.1142/S0218127411030441
dc.identifier.issn0218-1274
dc.identifier.lattes8032879915906661
dc.identifier.orcid0000-0002-8723-8200
dc.identifier.urihttp://hdl.handle.net/11449/8604
dc.identifier.wosWOS:000298815900007
dc.language.isoeng
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal of Bifurcation and Chaos
dc.relation.ispartofjcr1.501
dc.relation.ispartofsjr0,568
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectDiscontinuous piecewise linear differential systemsen
dc.subjectLimit cyclesen
dc.subjectaveraging theoryen
dc.titleLIMIT CYCLES of DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMSen
dc.typeArtigo
dcterms.licensehttp://www.worldscientific.com/page/authors/author-rights
dcterms.rightsHolderWorld Scientific Publ Co Pte Ltd
dspace.entity.typePublication
unesp.author.lattes8032879915906661[1]
unesp.author.orcid0000-0003-3927-938X[2]
unesp.author.orcid0000-0002-8723-8200[1]
unesp.author.orcid0000-0002-9511-5999[3]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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