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dc.contributor.authorGasull, Armengol
dc.contributor.authorGiné, Jaume
dc.contributor.authorValls, Claudia
dc.date.accessioned2021-04-09T11:31:00Z
dc.date.available2021-04-09T11:31:00Z
dc.date.issued2020
dc.identifier.issn0373-3114
dc.identifier.urihttp://hdl.handle.net/10459.1/71000
dc.description.abstractGiven a planar analytic differential equation with a critical point which is a weak focus of order k, it is well known that at most k limit cycles can bifurcate from it. Moreover, in case of analytic Liénard differential equations this order can be computed as one half of the multiplicity of an associated planar analytic map. By using this approach, we can give an upper bound of the maximum order of the weak focus of pure trigonometric Liénard equations only in terms of the degrees of the involved trigonometric polynomials. Our result extends to this trigonometric Liénard case a similar result known for polynomial Liénard equations.ca_ES
dc.description.sponsorshipThe first author is partially supported by “Agencia Estatal de Investigación” and “Ministerio de Ciencia, Innovación y Universidades”, Grant number MTM2016-77278-P and AGAUR, Generalitat de Catalunya, grant 2017-SGR-1617. The second author is partially supported by a MINECO/FEDER grant number MTM2017-84383-P and an AGAUR grant number 2017SGR-1276. The third author is partially supported by FCT/Portugal through UID/MAT/04459/2013.ca_ES
dc.language.isoengca_ES
dc.publisherSpringerca_ES
dc.relationMINECO/PN2013-2016/MTM2016-77278-Pca_ES
dc.relationMINECO/PN2013-2016/MTM2017-84383-Pca_ES
dc.relation.isformatofVersió preprint del document publicat a https://doi.org/10.1007/s10231-019-00936-8ca_ES
dc.relation.ispartofAnnali di Matematica Pura ed Applicata, 2020, vol.199, p. 1673-1684ca_ES
dc.rights(c) Springer, 2020ca_ES
dc.subjectTrigonometric Liénard equationca_ES
dc.subjectWeak focusca_ES
dc.subjectCyclicityca_ES
dc.titleHighest weak focus order for trigonometric Liénard equationsca_ES
dc.typeinfo:eu-repo/semantics/articleca_ES
dc.identifier.idgrec030387
dc.type.versioninfo:eu-repo/semantics/submittedVersionca_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_ES
dc.identifier.doihttps://doi.org/10.1007/s10231-019-00936-8


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