Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/355149
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dc.contributor.CRUESPUNIVERSIDADE ESTADUAL DE CAMPINASpt_BR
dc.contributor.authorunicampTeixeira, Marco Antonio-
dc.contributor.authorunicampZeli, Iris de Oliveira-
dc.typeArtigopt_BR
dc.titleBirth of limit cycles for a class of continuous and discontinuous differential systems in (d + 2)-dimensionpt_BR
dc.contributor.authorLlibre, Jaume-
dc.contributor.authorTeixeira, Marco A.-
dc.contributor.authorZeli, Iris O.-
dc.subjectEquações diferenciais polinomiaispt_BR
dc.subject.otherlanguagePolynomial differential equationspt_BR
dc.description.abstractThe orbits of the reversible differential system , , , with and , are periodic with the exception of the equilibrium points (0, 0, z1,… , zd). We compute the maximum number of limit cycles which bifurcate from the periodic orbits of the system , , , using the averaging theory of first order, when this system is perturbed, first inside the class of all polynomial differential systems of degree n, and second inside the class of all discontinuous piecewise polynomial differential systems of degree n with two pieces, one in y > 0 and the other in y < 0. In the first case, this maximum number is nd(n − 1)/2, and in the second, it is nd + 1.pt_BR
dc.relation.ispartofDynamical systems: an international journalpt_BR
dc.relation.ispartofabbreviationDynam. syst.pt_BR
dc.publisher.cityAbingdonpt_BR
dc.publisher.countryReino Unidopt_BR
dc.publisherTaylor & Francispt_BR
dc.date.issued2016-
dc.date.monthofcirculationNov.pt_BR
dc.language.isoengpt_BR
dc.description.volume31pt_BR
dc.description.issuenumber3pt_BR
dc.description.firstpage237pt_BR
dc.description.lastpage250pt_BR
dc.rightsFechadopt_BR
dc.sourceWOSpt_BR
dc.identifier.issn1468-9367pt_BR
dc.identifier.eissn1468–9375pt_BR
dc.identifier.doi10.1080/14689367.2015.1102868pt_BR
dc.identifier.urlhttps://www.tandfonline.com/doi/abs/10.1080/14689367.2015.1102868pt_BR
dc.description.sponsorshipCOORDENAÇÃO DE APERFEIÇOAMENTO DE PESSOAL DE NÍVEL SUPERIOR - CAPESpt_BR
dc.description.sponsorshipFUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESPpt_BR
dc.description.sponsordocumentnumber88881.030454/2013-01pt_BR
dc.description.sponsordocumentnumber2012/18780–0; 2012/23591–1; 2013/21078–8pt_BR
dc.date.available2021-02-02T19:03:52Z-
dc.date.accessioned2021-02-02T19:03:52Z-
dc.description.provenanceSubmitted by Bruna Maria Campos da Cunha (bcampos@unicamp.br) on 2021-02-02T19:03:52Z No. of bitstreams: 0en
dc.description.provenanceMade available in DSpace on 2021-02-02T19:03:52Z (GMT). No. of bitstreams: 0 Previous issue date: 2016en
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/355149-
dc.contributor.departmentDepartamento de Matemáticapt_BR
dc.contributor.departmentSem informaçãopt_BR
dc.contributor.unidadeInstituto de Matemática, Estatística e Computação Científicapt_BR
dc.contributor.unidadeInstituto de Ciências Matemáticas e de Computação Científicapt_BR
dc.subject.keywordLimit cyclept_BR
dc.subject.keywordAveraging methodpt_BR
dc.subject.keywordPeriodic orbitpt_BR
dc.subject.keywordPolynomial differential systempt_BR
dc.subject.keywordDiscontinuous polynomial differential systemspt_BR
dc.identifier.source000382574800001pt_BR
dc.creator.orcid0000-0002-5386-9282pt_BR
dc.creator.orcid0000-0001-8153-0780pt_BR
dc.type.formArtigo originalpt_BR
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