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dc.contributor.authorFercec, Brigita
dc.contributor.authorGiné, Jaume
dc.date.accessioned2019-01-16T09:40:29Z
dc.date.available2019-01-16T09:40:29Z
dc.date.issued2018
dc.identifier.issn2156-907X
dc.identifier.urihttp://hdl.handle.net/10459.1/65517
dc.description.abstractIn this work we provide an effective method to prove the formal integrability of the resonant saddles. The method is based on the use of a blow-up and the resolution of a recurrence differential equation using induction. Using the method some open integrability problems for certain resonant saddles are solved.
dc.description.sponsorshipThe authors are grateful to the referee for his/her valuable instructions and suggestions to improve this paper. The first author acknowledges the financial support of the Slovenian Research Agency (core funding No. P1-0306). The second author is partially supported by a MINECO/ FEDER grant number MTM2017-84383-P and an AGAUR (Generalitat de Catalunya) grant number 2017SGR-1276.
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherShanghai Normal University & Wilmington Scientific Publisher
dc.relationMINECO/PN2013-2016/MTM2017-84383-P
dc.relation.isformatofReproducció del document publicat a https://doi.org/10.11948/2018.1833
dc.relation.ispartofJournal Of Applied Analysis And Computation, 2018, vol. 8, núm. 6, p. 1833-1850
dc.rightscc-by (c) Giné et al., 2018
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectSaddle constants
dc.subjectFormal first integral
dc.subjectInvariant analytic curve
dc.titleA blow-up method to prove formal integrability for some planar differential systems
dc.typeinfo:eu-repo/semantics/article
dc.date.updated2019-01-16T09:40:29Z
dc.identifier.idgrec027873
dc.type.versionpublishedVersion
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.identifier.doihttps://doi.org/10.11948/2018.1833


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