A counterexample to the composition condition conjecture for polynomial Abel differential equations

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dc.contributor.authorGiné, Jaume
dc.contributor.authorGrau Montaña, Maite
dc.contributor.authorSantallusia Esvert, Xavier
dc.date.accessioned2020-04-22T09:40:39Z
dc.date.available2020-04-22T09:40:39Z
dc.date.issued2019
dc.description.abstractPolynomial Abel differential equations are considered a model problem for the classical Poincaré center–focus problem for planar polynomial systems of ordinary differential equations. In the last few decades, several works pointed out that all centers of the polynomial Abel differential equations satisfied the composition conditions (also called universal centers). In this work we provide a simple counterexample to this conjecture.ca_ES
dc.description.sponsorshipThe authors are partially supported by a MINECO/FEDER grant number MTM2014-53703-P and by an AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204.ca_ES
dc.identifier.doihttps://doi.org/10.1017/etds.2018.16
dc.identifier.idgrec029154
dc.identifier.issn0143-3857
dc.identifier.issn1469-4417
dc.identifier.urihttp://hdl.handle.net/10459.1/68470
dc.language.isoengca_ES
dc.publisherCambridge University Pressca_ES
dc.relationinfo:eu-repo/grantAgreement/MINECO//MTM2014-53703-P/ES/METODOS CUALITATIVOS EN SISTEMAS DIFERENCIALES CONTINUOS/ca_ES
dc.relation.isformatofVersió postprint del document publicat a https://doi.org/10.1017/etds.2018.16ca_ES
dc.relation.ispartofErgodic Theory and Dynamical Systems, 2019, vol. 39, núm. 12, p. 3347-3352ca_ES
dc.rights(c) Cambridge University Press, 2019ca_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_ES
dc.subjectAbel equationsca_ES
dc.subjectCenter problemca_ES
dc.subjectComposition conditionca_ES
dc.titleA counterexample to the composition condition conjecture for polynomial Abel differential equationsca_ES
dc.typeinfo:eu-repo/semantics/articleca_ES
dc.type.versioninfo:eu-repo/semantics/acceptedVersionca_ES
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