Local phase portraits through the Newton diagram of a vector field

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dc.contributor.authorAlgaba Durán, Antonio
dc.contributor.authorCheca Camacho, Isabel
dc.contributor.authorGarcía García, Cristóbal
dc.contributor.authorReyes Columé, Manuel
dc.date.accessioned2025-05-08T09:16:00Z
dc.date.available2025-05-08T09:16:00Z
dc.date.issued2015-06
dc.description.abstractThe Newton diagram and, in particular, the lowest-degree quasi-homogeneous terms of an analytic planar vector field allow us to determine the existence of characteristic orbits and separatrices of an isolated singular point. We give an easy algorithm for obtaining the local phase portrait near the origin of a bi-dimensional differential system and we provide several examples.es_ES
dc.description.departmentCiencias Integradases_ES
dc.description.sponsorshipSupported by Ministerio de Ciencia y Tecnología, Plan Nacional I+D+I co-financed with FEDER funds, in the frame of the projects MTM2010-20907-C02-02, and by Consejería de Educación y Ciencia de la Junta de Andalucía (FQM-276 and P08-FQM-03770)es_ES
dc.identifier.citationAlgaba, A., Checa, I., García, C., & Reyes, M. (2015). Local phase portraits through the Newton diagram of a vector field. Acta Mathematica Sinica, English Series, 31(6), 1015–1034. https://doi.org/10.1007/s10114-015-3663-4es_ES
dc.identifier.issn10.1007/s10114-015-3663-4
dc.identifier.issn1439-8516
dc.identifier.issn1439-7617 (electrónico)
dc.identifier.urihttps://hdl.handle.net/10272/25454
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.relation.publisherversionhttps://doi.org/10.1007/s10114-015-3663-4es_ES
dc.rightsAtribución-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nd/3.0/es/*
dc.subjectEcuaciones diferencialeses_ES
dc.subject.otherDegenerate vector fieldses_ES
dc.subject.otherPhase portraitses_ES
dc.subject.otherMonodromy of vector fieldses_ES
dc.subject.otherMonodromyes_ES
dc.subject.otherSeparatriceses_ES
dc.subject.otherQuasi-homogeneous vector fieldes_ES
dc.subject.unesco1206.02 Ecuaciones Diferencialeses_ES
dc.titleLocal phase portraits through the Newton diagram of a vector fieldes_ES
dc.typejournal articlees_ES
dc.type.hasVersionAMes_ES
dspace.entity.typePublication
relation.isAuthorOfPublication06bb69dc-47c2-4e2e-95c8-92a095d65ce9
relation.isAuthorOfPublicationecd13faa-3505-4cae-8416-a26c934d397e
relation.isAuthorOfPublication326a4070-808a-4273-b160-dea7130da021
relation.isAuthorOfPublication.latestForDiscovery06bb69dc-47c2-4e2e-95c8-92a095d65ce9

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