Show simple item record

dc.contributor.authorGasull, Armengol
dc.contributor.authorGiné, Jaume
dc.contributor.authorValls, Claudia
dc.date.accessioned2018-04-04T12:52:57Z
dc.date.available2019-10-05T22:18:35Z
dc.date.issued2017
dc.identifier.issn0022-0396
dc.identifier.urihttp://hdl.handle.net/10459.1/62979
dc.description.abstractWe give a complete algebraic characterization of the non-degenerated centers for planar trigonometric Liénard systems. The main tools used in our proof are the classical results of Cherkas on planar analytic Liénard systems and the characterization of some subfields of the quotient field of the ring of trigonometric polynomials. Our results are also applied to some particular subfamilies of planar trigonometric Liénard systems. The results obtained are reminiscent of the ones for planar polynomial Liénard systems but the proofs are different.
dc.description.sponsorshipThe first author is partially supported by the MINECO MTM2013-40998-P and the AGAUR (Generalitat de Catalunya) 2014SGR568 grants. The second author is partially supported by the MINECO/FEDER grant number MTM2014-53703-P and the AGAUR grant number 2014SGR 1204. The third author is partially supported by FCT/Portugal through UID/MAT/04459/2013.
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherElsevier
dc.relationMINECO/PN2013-2016/MTM2013-40998-P
dc.relationMINECO/PN2013-2016/MTM2014-53703-P
dc.relation.isformatofVersió postprint del document publicat a https://doi.org/10.1016/j.jde.2017.05.008
dc.relation.ispartofJournal of Differential Equations, 2017, vol. 263, p. 3928-3942
dc.rightscc-by-nc-nd (c) Elsevier, 2017
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectCenter problem
dc.subjectTrigonometric Liénard equation
dc.subjectTrigonometric polynomial
dc.titleCenter problem for trigonometric Liénard systems
dc.typeinfo:eu-repo/semantics/article
dc.date.updated2018-04-04T12:52:58Z
dc.identifier.idgrec025850
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.identifier.doihttps://doi.org/10.1016/j.jde.2017.05.008


Files in this item

Thumbnail
Thumbnail
Thumbnail
Thumbnail

This item appears in the following Collection(s)

Show simple item record

cc-by-nc-nd (c) Elsevier, 2017
Except where otherwise noted, this item's license is described as cc-by-nc-nd (c) Elsevier, 2017