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On a variant of Hilbert's 16th problem

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dc.contributor.authorGasull, Armengol
dc.contributor.authorSantana, Paulo [UNESP]
dc.contributor.institutionUniversitat Autònoma de Barcelona
dc.contributor.institutionEdifici Cc
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2025-04-29T18:49:13Z
dc.date.issued2024-12-02
dc.description.abstractWe study the number of limit cycles that a planar polynomial vector field can have as a function of its number m of monomials. We prove that the number of limit cycles increases at least quadratically with m and we provide good lower bounds for m ≤ 10.en
dc.description.affiliationDepartament de Matemàtiques Facultat de Ciències Universitat Autònoma de Barcelona, Barcelona
dc.description.affiliationCentre de Recerca Matemàtica Edifici Cc, Campus de Bellaterra, Barcelona
dc.description.affiliationIBILCE-UNESP, S. J. Rio Preto
dc.description.affiliationUnespIBILCE-UNESP, S. J. Rio Preto
dc.identifierhttp://dx.doi.org/10.1088/1361-6544/ad8c1b
dc.identifier.citationNonlinearity, v. 37, n. 12, 2024.
dc.identifier.doi10.1088/1361-6544/ad8c1b
dc.identifier.issn1361-6544
dc.identifier.issn0951-7715
dc.identifier.scopus2-s2.0-85209406488
dc.identifier.urihttps://hdl.handle.net/11449/300313
dc.language.isoeng
dc.relation.ispartofNonlinearity
dc.sourceScopus
dc.subjectAbelian integrals
dc.subjectHilbert 16th problem
dc.subjectlimit cycles
dc.titleOn a variant of Hilbert's 16th problemen
dc.typeArtigopt
dspace.entity.typePublication
unesp.author.orcid0000-0001-6942-351X[2]
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