Non-formally integrable centers admitting an algebraic inverse integrating factor

dc.contributor.authorAlgaba Durán, Antonio
dc.contributor.authorFuentes Díaz, Natalia
dc.contributor.authorGarcía García, Cristóbal
dc.contributor.authorReyes Columé, Manuel
dc.date.accessioned2025-05-07T11:56:59Z
dc.date.available2025-05-07T11:56:59Z
dc.date.issued2018-03
dc.description“This article has been published in a revised form in Discrete & Continuous Dynamical Systems [https://doi.org/10.3934/dcds.2018041]. This version is free to download for private research and study only. Not for redistribution, re-sale or use in derivative works.”es_ES
dc.description.abstractWe study the existence of a class of inverse integrating factor for a family of non-formally integrable systems whose lowest-degree quasi-homogeneous term is a Hamiltonian vector field. Once the existence of an inverse integrating factor is established, we study the systems having a center. Among others, we characterize the centers of the perturbations of the system $-y^3\partial_x+x^3\partial_y$ having an algebraic inverse integrating factor.es_ES
dc.description.departmentCiencias Integradases_ES
dc.description.sponsorshipThis work has been partially supported by Ministerio de Ciencia y Tecnología, Plan Nacional I+D+I co-financed with FEDER funds, in the frame of the project MTM2014-56272-C2, and by Consejería de Educación y Ciencia de la Junta de Andalucía (FQM-276 and P12-FQM-1658).es_ES
dc.identifier.citationAlgaba, A., Fuentes, N., García, C., & Reyes, M. (2018). Non-formally integrable centers admitting an algebraic inverse integrating factor. In Discrete & Continuous Dynamical Systems - A (Vol. 38, Issue 3, pp. 967–988). American Institute of Mathematical Sciences (AIMS). https://doi.org/10.3934/dcds.2018041es_ES
dc.identifier.issn1078-0947
dc.identifier.issn1553-5231 (electrónico)
dc.identifier.urihttps://hdl.handle.net/10272/25451
dc.language.isoenges_ES
dc.publisherAmerican Institue of Mathematical Scienceses_ES
dc.relation.publisherversionhttps://doi.org/10.3934/dcds.2018041es_ES
dc.rightsAtribución-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nd/3.0/es/*
dc.subject.otherFactores integrantes inversoses_ES
dc.subject.otherPeriodic solutionses_ES
dc.subject.unesco12 Matemáticases_ES
dc.titleNon-formally integrable centers admitting an algebraic inverse integrating factores_ES
dc.typejournal articlees_ES
dc.type.hasVersionAMes_ES
dspace.entity.typePublication
relation.isAuthorOfPublication06bb69dc-47c2-4e2e-95c8-92a095d65ce9
relation.isAuthorOfPublicationbccf4383-d205-4902-9c59-d359c0786c97
relation.isAuthorOfPublication326a4070-808a-4273-b160-dea7130da021
relation.isAuthorOfPublication.latestForDiscovery06bb69dc-47c2-4e2e-95c8-92a095d65ce9

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