A method for characterizing nilpotent centers

dc.contributor.authorGiné, Jaume
dc.contributor.authorLlibre, Jaume
dc.date.accessioned2017-10-27T09:18:18Z
dc.date.available2017-10-27T09:18:18Z
dc.date.issued2014
dc.description.abstractTo characterize when a nilpotent singular point of an analytic differential system is a center is of particular interest, first for the problem of distinguishing between a focus and a center, and after for studying the bifurcation of limit cycles from it or from its period annulus. We give an effective algorithm in the search of necessary conditions for detecting nilpotent centers based in recent developments. Moreover we survey the last results on this problem and illustrate our approach by means of examples.ca_ES
dc.description.sponsorshipThe first author is partially supported by a MINECO/ FEDER grant number MTM2011-22877 and an AGAUR (Generalitat de Catalunya) grant number 2009SGR 381. The second author is partially supported by a MINECO/ FEDER grant number MTM2008-03437, an AGAUR grant number 2009SGR 410, ICREA Academia and two FP7-PEOPLE-2012-IRSES numbers 316338 and 318999.ca_ES
dc.identifier.doihttps://doi.org/10.1016/j.jmaa.2013.12.013
dc.identifier.idgrec021522
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/10459.1/60381
dc.language.isoengca_ES
dc.publisherElsevierca_ES
dc.relationinfo:eu-repo/grantAgreement/MICINN//MTM2011-22877/ES/BIFURCACIONES, INTEGRABILIDAD Y PROPIEDADES CUALITATIVAS DE FAMILIAS DE CAMPOS VECTORIALES/
dc.relationinfo:eu-repo/grantAgreement/MICINN//MTM2008-03437/ES/ORBITAS PERIODICAS, BIFURCACIONES E INTEGRABILIDAD DE LOS SISTEMAS DINAMICOS/
dc.relation.isformatofVersió preprint del document publicat a https://doi.org/10.1016/j.jmaa.2013.12.013
dc.relation.ispartofJournal of Mathematical Analysis and Applications, 2014, vol. 413, p. 537-545
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/316338
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/318999
dc.rights(c) Elsevier, 2014ca_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_ES
dc.subjectNilpotent center
dc.subjectDegenerate center
dc.subjectLiapunov constants
dc.subjectBautin method
dc.titleA method for characterizing nilpotent centersca_ES
dc.typearticleca_ES
dc.type.versionsubmittedVersionca_ES
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