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Real analytic vector fields with first integral and separatrices
dc.contributor.authorMol, Rogério
dc.contributor.authorSánchez, Fernando Sanz
dc.date.accessioned2024-06-17T21:47:48Z
dc.date.available2024-06-17T21:47:48Z
dc.date.issued2019
dc.identifier.citationRACSAM, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, vol. 113 (4), 2019, 4031-4049es
dc.identifier.issn1578-7303es
dc.identifier.urihttps://uvadoc.uva.es/handle/10324/68130
dc.description.abstractWe prove that a germ of analytic vector field at (R3, 0) that possesses a non-constant analytic first integral has a real formal separatrix. We provide an example which shows that such a vector field does not necessarily have a real analytic separatrix.es
dc.format.mimetypeapplication/pdfes
dc.language.isoenges
dc.publisherSpringeres
dc.rights.accessRightsinfo:eu-repo/semantics/restrictedAccesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subject.classificationReal analytic vector eld, rst integral, formal and analytic separatrix, reduction of singularities, index of vector eldses
dc.titleReal analytic vector fields with first integral and separatriceses
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.holderReal Academia de Ciencias, Españaes
dc.identifier.doi10.1007/s13398-019-00639-yes
dc.identifier.publicationfirstpage4031es
dc.identifier.publicationissue4es
dc.identifier.publicationlastpage4049es
dc.identifier.publicationtitleRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticases
dc.identifier.publicationvolume113es
dc.peerreviewedSIes
dc.description.projectFirst author partially supported by Pronex-Faperj, CNPq-Universal, CAPES-Mathamsud. Second author partially supported by Ministerio de Educaci on y Cultura, Spain, process MTM2013-46337-C2-1-P and MTM2016-77642-C2-1-P, and by Programa Hispano-Brasileño de Cooperación Interuniversitaria, process PHB2010-0122-PC.es
dc.identifier.essn1579-1505es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersiones


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