Invariant curves and analytic integrability of a planar vector field

Algaba Durán, Antonio; García García, Cristóbal, Matemático; Reyes Columé, Manuel

doi:10.1016/j.jde.2018.07.074

Invariant curves and analytic integrability of a planar vector field

dc.contributor.author	Algaba Durán, Antonio
dc.contributor.author	García García, Cristóbal, Matemático
dc.contributor.author	Reyes Columé, Manuel
dc.date.accessioned	2025-04-24T12:03:11Z
dc.date.available	2025-04-24T12:03:11Z
dc.date.issued	2019-01
dc.description.abstract	We give an expression of the irreducible invariant curves at the singular point. For analytically integrable systems, we give a reduced expression of its rst integral. This fact allows us to obtain necessary conditions of analytic integrability at degenerate singular points.	es_ES
dc.description.department	Ciencias Integradas	es_ES
dc.description.sponsorship	This work has been partially supported by Ministerio de Economia y Competitividad, Plan Nacional I+D+I cofinanced with FEDER funds, in the frame of the project MTM2014-56272-C2-02, and by Consejería de Educacion y Ciencia de la Junta de Andalucía (FQM-276 and P12-FQM- 1658).	es_ES
dc.identifier.citation	Algaba, A., García, C., & Reyes, M. (2019). Invariant curves and analytic integrability of a planar vector field. In Journal of Differential Equations (Vol. 266, Issues 2–3, pp. 1357–1376). Elsevier BV. https://doi.org/10.1016/j.jde.2018.07.074
dc.identifier.doi	10.1016/j.jde.2018.07.074
dc.identifier.issn	0022-0396
dc.identifier.issn	1090-2732 (electrónico)
dc.identifier.uri	https://hdl.handle.net/10272/25426
dc.language.iso	eng	es_ES
dc.publisher	Elsevier	es_ES
dc.relation.publisherversion	https://doi.org/10.1016/j.jde.2018.07.074	es_ES
dc.rights	Atribución-SinDerivadas 3.0 España	*
dc.rights.accessRights	open access	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by-nd/3.0/es/	*
dc.subject.other	Ecuaciones diferenciales	es_ES
dc.subject.unesco	1206.02 Ecuaciones Diferenciales	es_ES
dc.title	Invariant curves and analytic integrability of a planar vector field	es_ES
dc.type	journal article	es_ES
dc.type.hasVersion	SMUR	es_ES
dspace.entity.type	Publication
relation.isAuthorOfPublication	06bb69dc-47c2-4e2e-95c8-92a095d65ce9
relation.isAuthorOfPublication	25e83ffe-c24c-4cb5-acb6-adbc0f459e82
relation.isAuthorOfPublication	326a4070-808a-4273-b160-dea7130da021
relation.isAuthorOfPublication.latestForDiscovery	06bb69dc-47c2-4e2e-95c8-92a095d65ce9

Files

Original bundle

Now showing 1 - 1 of 1

Name:: curvinv_new2.pdf
Size:: 311.68 KB
Format:: Adobe Portable Document Format
Description:: Versión preprint

Download

Collections

Artículos