Local cyclicity in low degree planar piecewise polynomial vector fields

dc.contributor.authorGouveia, Luiz F. S. [UNESP]
dc.contributor.authorTorregrosa, Joan
dc.contributor.institutionUniv Autonoma Barcelona
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionCtr Recerca Matemat
dc.date.accessioned2021-06-25T12:41:24Z
dc.date.available2021-06-25T12:41:24Z
dc.date.issued2021-08-01
dc.description.abstractIn this work, we are interested in isolated crossing periodic orbits in planar piecewise polynomial vector fields defined in two zones separated by a straight line. In particular, in the number of limit cycles of small amplitude. They are all nested and surrounding one equilibrium point or a sliding segment. We provide lower bounds for the local cyclicity for planar piecewise polynomial systems, M-c(p)(n), with degrees 2, 3, 4, and 5. More concretely, Mc p (2) >= 13, M-c(p) (3) >= 26, M-c(p) (4) >= 40, and M-c(p) (5) >= 58. The computations use parallelization algorithms. (C) 2020 Elsevier Ltd. All rights reserved.en
dc.description.affiliationUniv Autonoma Barcelona, Dept Matemat, Barcelona 08193, Spain
dc.description.affiliationUniv Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, Brazil
dc.description.affiliationCtr Recerca Matemat, Campus Bellaterra, Barcelona 08193, Spain
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, Brazil
dc.description.sponsorshipAGAUR
dc.description.sponsorshipMinisterio de Ciencia, Innovacion y Universidades, Spain -Agencia Estatal de Investigacion
dc.description.sponsorshipEuropean Community
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.sponsorshipIdAGAUR: 2017 SGR 1617
dc.description.sponsorshipIdMinisterio de Ciencia, Innovacion y Universidades, Spain -Agencia Estatal de Investigacion: MTM2016-77278-P
dc.description.sponsorshipIdMinisterio de Ciencia, Innovacion y Universidades, Spain -Agencia Estatal de Investigacion: PID2019-104658GB-I00
dc.description.sponsorshipIdEuropean Community: H2020-MSCA-RISE-2017-777911
dc.description.sponsorshipIdCNPq: 200484/2015-0
dc.description.sponsorshipIdFAPESP: 2020/04717-0
dc.format.extent19
dc.identifierhttp://dx.doi.org/10.1016/j.nonrwa.2020.103278
dc.identifier.citationNonlinear Analysis-real World Applications. Oxford: Pergamon-elsevier Science Ltd, v. 60, 19 p., 2021.
dc.identifier.doi10.1016/j.nonrwa.2020.103278
dc.identifier.issn1468-1218
dc.identifier.urihttp://hdl.handle.net/11449/210159
dc.identifier.wosWOS:000633361700001
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofNonlinear Analysis-real World Applications
dc.sourceWeb of Science
dc.subjectPiecewise vector field
dc.subjectPiecewise center cyclicity
dc.subjectLyapunov quantities
dc.titleLocal cyclicity in low degree planar piecewise polynomial vector fieldsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.author.orcid0000-0002-2753-1827[2]

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