Universal centers in the cubic trigonometric Abel equation
dc.contributor.author | Giné, Jaume | |
dc.contributor.author | Grau Montaña, Maite | |
dc.contributor.author | Santallusia Esvert, Xavier | |
dc.date.accessioned | 2016-02-02T13:25:44Z | |
dc.date.issued | 2014 | |
dc.date.updated | 2016-02-01T15:11:49Z | |
dc.description.abstract | We study the center problem for the trigonometric Abel equation dρ/dθ=a1(θ)ρ2+a2(θ)ρ3,dρ/dθ=a1(θ)ρ2+a2(θ)ρ3, where a1(θ)a1(θ) and a2(θ)a2(θ) are cubic trigonometric polynomials in θθ. This problem is closely connected with the classical Poincaré center problem for planar polynomial vector fields. A particular class of centers, the so-called universal centers or composition centers, is taken into account. An example of non-universal center and a characterization of all the universal centers for such equation are provided. | |
dc.description.sponsorship | The authors are partially supported by a MINECO/FEDER grant number MTM2011-22877 and by a Generalitat de Catalunya grant number 2009SGR 381 | |
dc.format.mimetype | application/pdf | |
dc.identifier.doi | https://doi.org/10.14232/ejqtde.2014.1.1 | |
dc.identifier.idgrec | 020569 | |
dc.identifier.issn | 1417-3875 | |
dc.identifier.uri | http://hdl.handle.net/10459.1/49426 | |
dc.language.iso | eng | |
dc.publisher | Bolyai Institute. University of Szeged | |
dc.publisher | Hungarian Academy of Sciences | |
dc.relation | info:eu-repo/grantAgreement/MICINN//MTM2011-22877/ES/BIFURCACIONES, INTEGRABILIDAD Y PROPIEDADES CUALITATIVAS DE FAMILIAS DE CAMPOS VECTORIALES/ | |
dc.relation.isformatof | Reproducció del document publicat a https://doi.org/10.14232/ejqtde.2014.1.1 | |
dc.relation.ispartof | Electronic Journal of Qualitative Theory of Differential Equations, 2014, núm. 1, p. 1-7 | |
dc.rights | cc-by (c) Giné, Jaume et al., 2014 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/deed.es_ES | |
dc.subject.classification | Trigonometria | |
dc.subject.other | Trigonometry | |
dc.subject.other | Center problem | |
dc.subject.other | Abel differential equation | |
dc.subject.other | Universal center | |
dc.subject.other | Composition condition | |
dc.subject.other | Polynomial differential equations | |
dc.title | Universal centers in the cubic trigonometric Abel equation | |
dc.type | info:eu-repo/semantics/article | |
dc.type.version | publishedVersion |