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dc.contributor.authorGarcía, I. A. (Isaac A.)
dc.contributor.authorLlibre, Jaume
dc.contributor.authorMaza Sabido, Susanna
dc.date.accessioned2016-11-03T13:24:58Z
dc.date.available2017-07-01T22:29:43Z
dc.date.issued2016-09-01
dc.identifier.issn1021-9722
dc.identifier.urihttp://hdl.handle.net/10459.1/58372
dc.description.abstractIn this paper we study the cyclicity of the centers of the quartic polynomial family written in complex notation as z = i z + z z (A z^2 + B z z + C z^2 ), where A,B,C. We give an upper bound for the cyclicity of any nonlinear center at the origin when we perturb it inside this family. Moreover we prove that this upper bound is sharp.
dc.description.sponsorshipThe first and third authors are partially supported by a MINECO grant number MTM2014-53703-P and by a CIRIT grant number 2014 SGR 1204. The second author is partially supported by a MINECO grant MTM2013-40998-P, an AGAUR grant number 2014SGR 568, two FP7-PEOPLE-2012-IRSES numbers 316338 and 318999.
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherSpringer
dc.relationMINECO/PN2013-2016/MTM2014-53703-P
dc.relationMINECO/PN2013-2016/MTM2013-40998-P
dc.relation.isformatofVersió postprint del document publicat a https://doi.org/10.1007/s00030-016-0388-8
dc.relation.ispartofNonlinear Differential Equations and Applications-NoDEA, 2016, vol. 23, n. 34
dc.rights(c) Springer, 2016
dc.subjectCenter
dc.subjectPolynomial vector fields
dc.subjectBautin ideal
dc.subjectCyclicity
dc.subjectLimit cycle
dc.titleCenter cyclicity of a family of quartic polynomial differential system
dc.typeinfo:eu-repo/semantics/article
dc.date.updated2016-11-03T13:24:58Z
dc.identifier.idgrec024293
dc.type.versionacceptedVersion
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.identifier.doihttps://doi.org/10.1007/s00030-016-0388-8
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/318999
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/316338


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