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dc.contributor.authorAlgaba Durán, Antonio 
dc.contributor.authorFuentes Díaz, Natalia 
dc.contributor.authorGamero, Estanislao
dc.contributor.authorGarcía García, Cristóbal
dc.identifier.citationAlgaba, A., Fuentes, N., Gamero, E., & García, C. (2021). On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier. In Applied Mathematics and Computation (Vol. 405, p. 126241). Elsevier BV.
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_ES
dc.description.sponsorshipThis research was partly supported by the Ministerio de Ciencia e Inno- vación, fondos FEDER (project MTM2017-87915-C2-1-P), by the Ministerio de Ciencia, Inno- vación y Universidades, fondos FEDER (project P6C2018-096265-B-I00) and by the Consejer´ıa de Economía, Innovación, Ciencia y Empleo de la Junta de Andalucía (projects P12-FQM-1658, TIC-130, FQM-276).es_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.subject.otherIntegrability problemes_ES
dc.subject.otherNondegenerate Hopf-zero singularityes_ES
dc.subject.otherQuasi-homogeneous normal formses_ES
dc.subject.otherAnalytic first integralses_ES
dc.subject.otherlnverse Jacobi multiplierses_ES
dc.titleOn the Integrability Problem for the Hopf-Zero singularity and its relation with the inverse Jacobi multiplieres_ES
dc.subject.unesco12 Matemáticases_ES

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Atribución-NoComercial-SinDerivadas 3.0 España
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