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dc.contributor.authorAlgaba, Antonio
dc.contributor.authorCheca, Isabel
dc.contributor.authorGarcía, Cristóbal
dc.contributor.authorGiné, Jaume
dc.date.accessioned2016-11-07T14:50:39Z
dc.date.available2018-10-31T23:22:55Z
dc.date.issued2016
dc.identifier.issn1468-1218
dc.identifier.urihttp://hdl.handle.net/10459.1/58412
dc.description.abstractIn this paper we study the analytic integrability around the origin inside a family of degenerate centers or perturbations of them. For this family analytic integrability does not imply formal orbital equivalence to a Hamiltonian system. It is shown how difficult is the integrability problem even inside this simple family of degenerate centers or perturbations of them.
dc.description.sponsorshipThe first and third authors are supported by a MINECO/FEDER Grant Number MTM2014-56272-C2-2 and by the Consejería de Educación y Ciencia de la Junta de Andalucía (projects P12-FQM-1658, FQM-276). The fourth author is partially supported by a MINECO/FEDER Grant Number MTM2014-53703-P and by a AGAUR (Generalitat de Catalunya) Grant Number 2014SGR 1204.
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherElsevier
dc.relationMINECO/PN2013-2016/MTM2014-56272-C2-2
dc.relationMINECO/PN2013-2016/MTM2014-53703-P
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/10.1016/j.nonrwa.2016.02.003
dc.relation.ispartofNonlinear Analysis-Real World Applications, 2016, vol. 31, p. 288-307
dc.rightscc-by-nc-nd (c) Elsevier, 2016
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectNonlinear differential systems
dc.subjectIntegrability problem
dc.subjectDegenerate center problem
dc.subject.classificationMatemàtica
dc.subject.otherMathematics
dc.titleAnalytic integrability inside a family of degenerate centers
dc.typeinfo:eu-repo/semantics/article
dc.date.updated2016-11-07T14:50:39Z
dc.identifier.idgrec024513
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.identifier.doihttps://doi.org/10.1016/j.nonrwa.2016.02.003


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cc-by-nc-nd (c) Elsevier, 2016
Except where otherwise noted, this item's license is described as cc-by-nc-nd (c) Elsevier, 2016