Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system

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dc.contributor.authorAlgaba Durán, Antonio
dc.contributor.authorGarcía García, Cristóbal, Matemático
dc.contributor.authorReyes Columé, Manuel
dc.contributor.authorGiné, Jaume
dc.date.accessioned2024-02-29T13:33:44Z
dc.date.available2024-02-29T13:33:44Z
dc.date.issued2023
dc.description.abstractFor perturbations of integrable non-Hamiltonian quasi-homogeneous planar vector field whose origin is a non-degenerate singular point, orbital linearization and analytic integrability are equivalent. We show a class of analytically integrable vector fields whose origin is a degenerate singular point which is orbitally equivalent to a semi-quasi-homogeneous system, that is, it is not orbital equivalent to its lowest-degree quasi-homogeneous term.es_ES
dc.description.departmentCiencias Integradas
dc.description.sponsorshipThe first three authors are partially supported by Ministerio de Economia y Competitividad, Plan Nacional I +D+I co-financed with FEDER funds, in the frame of the project PGC2018-096265-B-I00, and by Consejería de Educación y Ciencia de la Junta de Andalucía (FQM-276, P12-FQM-1658, UHU126150 and P20 00764). The last author is partially supported by the Agencia Estatal de Investigación, Spain grant PID2020-113758GB-I00 and an AGAUR (Generalitat de Catalunya) grant number 2021SGR 01618.es_ES
dc.identifier.citationAlgaba, A., García, C., Reyes, M., & Giné, J. (2023). Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system. In Nonlinear Analysis (Vol. 234, p. 113304). Elsevier BV. https://doi.org/10.1016/j.na.2023.113304es_ES
dc.identifier.doi10.1016/j.na.2023.113304
dc.identifier.issn0362-546X
dc.identifier.urihttps://hdl.handle.net/10272/23306
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.otherAnalytically integrabilityes_ES
dc.subject.otherOrbitally equivalentes_ES
dc.subject.otherSemi-quasihomogeneous systemes_ES
dc.subject.unesco12 Matemáticases_ES
dc.titleAnalytically integrable system orbitally equivalent to a semi-quasihomogeneous systemes_ES
dc.typejournal articlees_ES
dc.type.hasVersionVoR
dspace.entity.typePublication
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relation.isAuthorOfPublication25e83ffe-c24c-4cb5-acb6-adbc0f459e82
relation.isAuthorOfPublication326a4070-808a-4273-b160-dea7130da021
relation.isAuthorOfPublication.latestForDiscovery06bb69dc-47c2-4e2e-95c8-92a095d65ce9

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