Kowalevskaya exponents and normal forms of planar dynamical systems. Application to integrability problem

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dc.contributor.authorAlgaba Durán, Antonio
dc.contributor.authorGarcía García, Cristóbal, Matemático
dc.contributor.authorReyes Columé, Manuel
dc.contributor.authorGiné Mesa, Jaume
dc.date.accessioned2025-04-09T09:53:31Z
dc.date.available2025-04-09T09:53:31Z
dc.date.issued2024
dc.description.abstractIn this work dynamical properties of the solutions of differential systems in the plane are provided using certain constants related with the Kowalevskaya exponents. An orbital normal form that allows to study the existence of analytic and non-analytic first integrals is given. We apply the results to study the algebraic and analytic integrability around several singularities.es_ES
dc.description.departmentCiencias Integradases_ES
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 grant PID2020-113758GB-I00 and an AGAUR (Generalitat de Caluña) grant number 2021SGR 01618.es_ES
dc.identifier.citationAlgaba, A., García, C., Reyes, M., & Giné, J. (2024). Kowalevskaya exponents and normal forms of planar dynamical systems. Application to integrability problem. In Communications in Contemporary Mathematics. World Scientific Pub Co Pte Ltd. https://doi.org/10.1142/s0219199725500099es_ES
dc.identifier.doi10.1142/s0219199725500099
dc.identifier.issn17936683
dc.identifier.urihttps://hdl.handle.net/10272/25355
dc.language.isoenges_ES
dc.publisherWorld Scientific Publishinges_ES
dc.relation.publisherversionhttps://doi.org/10.1142/S0219199725500099es_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.unesco12 Matemáticases_ES
dc.titleKowalevskaya exponents and normal forms of planar dynamical systems. Application to integrability problemes_ES
dc.typejournal articlees_ES
dc.type.hasVersionAMes_ES
dspace.entity.typePublication
relation.isAuthorOfPublication06bb69dc-47c2-4e2e-95c8-92a095d65ce9
relation.isAuthorOfPublication25e83ffe-c24c-4cb5-acb6-adbc0f459e82
relation.isAuthorOfPublication326a4070-808a-4273-b160-dea7130da021
relation.isAuthorOfPublication.latestForDiscovery06bb69dc-47c2-4e2e-95c8-92a095d65ce9

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