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On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier

dc.creatorAlgaba, A.es
dc.creatorFuentes, N.es
dc.creatorGamero Gutiérrez, Estanislaoes
dc.creatorGarcía, C.es
dc.date.accessioned2022-09-26T15:17:03Z
dc.date.available2022-09-26T15:17:03Z
dc.date.issued2021
dc.identifier.citationAlgaba, A., Fuentes, N., Gamero Gutiérrez, E. y García, C. (2021). On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier. Applied Mathematics and Computation, 405, Article number 126241.
dc.identifier.issn0096-3003es
dc.identifier.urihttps://hdl.handle.net/11441/137383
dc.descriptionArticle number 126241es
dc.description.abstractIn this paper we use the orbital normal form of the nondegenerate Hopf-zero singularity to obtain necessary conditions for the existence of first integrals for such singularity. Also, we analyze the relation between the existence of first integrals and of inverse Jacobi multipliers. Some algorithmic procedures for determining the existence of first integrals are presented, and they are applied to some families of vector fields.es
dc.description.sponsorshipConsejería de Economía, Innovación, Ciencia y Empleo de la Junta de Andalucía P12-FQM-1658es
dc.description.sponsorshipEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) PGC2018-096265-B-I00es
dc.description.sponsorshipEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) MTM2017-87915-C2-1-Pes
dc.formatapplication/pdfes
dc.format.extent13 p.es
dc.language.isoenges
dc.publisherElsevier Inc.es
dc.relation.ispartofApplied Mathematics and Computation, 405, Article number 126241.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectIntegrability problemes
dc.subjectNondegenerate Hopf-zero singularityes
dc.subjectQuasi-homogeneous normal formses
dc.subjectAnalytic first integralses
dc.subjectInverse Jacobi multiplierses
dc.titleOn the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplieres
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/acceptedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Matemática Aplicada II (ETSI)es
dc.relation.projectIDMTM2017-87915-C2-1-Pes
dc.relation.projectIDPGC2018-096265-B-I00es
dc.relation.projectIDP12-FQM-1658es
dc.relation.projectIDUHU-1260150es
dc.relation.projectIDTIC-130es
dc.relation.projectIDFQM-276es
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0096300321003313es
dc.identifier.doi10.1016/j.amc.2021.126241es
dc.journaltitleApplied Mathematics and Computationes
dc.publication.volumen405es
dc.publication.initialPageArticle number 126241es
dc.contributor.funderMinisterio de Ciencia e Innovación (MICIN). Españaes
dc.contributor.funderConsejería de Economía, Innovación, Ciencia y Empleo de la Junta de Andalucíaes
dc.contributor.funderEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)es

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