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dc.contributor.authorFercec, Brigita
dc.contributor.authorGiné, Jaume
dc.contributor.authorRomanovski, Valery G.
dc.contributor.authorEdneral, Victor F.
dc.date.accessioned2016-11-03T16:51:57Z
dc.date.available2018-03-01T23:26:02Z
dc.date.issued2016
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/10459.1/58374
dc.description.abstractIn this paper we obtain sufficient conditions for the existence of a local analytic first integral for a family of quintic systems having homogeneous nonlinearities. The family studied in this work is the largest one classified until now for systems with such nonlinearities. We propose also an approach to find reversible systems within polynomial families of Lotka-Volterra systems with homogeneous nonlinearities.
dc.description.sponsorshipBrigita Fercec and Valery Romanovski acknowledge the support of the study by the Slovenian Research Agency and by a Curie International Research Staff Exchange SchemeFellowship within the 7th European Community Framework Programme, FP7-PEOPLE-2012- IRSES-316338. Jaume Giné is partially supported by a MINECO/ FEDER grant number MTM2014-53703-P and by an AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204. Victor Edneral acknowledges the support by the Russian Federation grant on support of scientific schools number 3042.2014.2.
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherElsevier
dc.relationMINECO/PN2013-2016/MTM2014-53703-P
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/10.1016/j.jmaa.2015.09.037
dc.relation.ispartofJournal of Mathematical Analysis and Applications, 2016, vol. 434, núm. 1, p. 894-914
dc.rightscc-by-nc-nd (c) Elsevier, 2016
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.ca
dc.subjectIntegrability
dc.subjectCenter problem
dc.subjectTime-reversibility
dc.subject.classificationMatemàtica
dc.subject.otherMathematics
dc.titleIntegrability of complex planar systems with homogeneous nonlinearities
dc.typeinfo:eu-repo/semantics/article
dc.date.updated2016-11-03T16:51:57Z
dc.identifier.idgrec023782
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.identifier.doihttps://doi.org/10.1016/j.jmaa.2015.09.037
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/316338


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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