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On the computation of Darboux first integrals of a class of planar polynomial vector fields
dc.contributor.author | Ferragut, Antoni | |
dc.contributor.author | Galindo, Carlos | |
dc.contributor.author | Montserrat Delpalillo, Francisco José | |
dc.date.accessioned | 2019-07-23T08:24:22Z | |
dc.date.available | 2019-07-23T08:24:22Z | |
dc.date.issued | 2019-05 | |
dc.identifier.citation | FERRAGUT, A.; GALINDO, C.; MONSERRAT, F. On the computation of Darboux first integrals of a class of planar polynomial vector fields. Journal of Mathematical Analysis and Applications, 2019, 478(2): 743-763 | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/183339 | |
dc.description.abstract | We study the class of planar polynomial vector fields admitting Darboux first integrals of the type I I r i=1 fiαi , where the αi 's are positive real numbers and the fi 's are polynomials defining curves with only one place at infinity. We show that these vector fields have an extended reduction procedure and give an algorithm which, from a part of the extended reduction of the vector field, computes a Darboux first integral for generic exponents. | ca_CA |
dc.format.extent | 20 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.rights | © 2019 Elsevier Inc. All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | planar polynomial vector field | ca_CA |
dc.subject | Darboux first integral | ca_CA |
dc.subject | reduction of singularities | ca_CA |
dc.subject | curve with only one place at infinity | ca_CA |
dc.title | On the computation of Darboux first integrals of a class of planar polynomial vector fields | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1016/j.jmaa.2019.05.052 | |
dc.relation.projectID | Spanish Government Ministerio de Econom´ıa, Industria y Competitividad (MINECO-FEDER) (Grants MTM2015-65764-C3-2-P, MTM2016-81735-REDT, MTM2016-81932-REDT and MTM2016-77278-P) ; Universitat Jaume I grants UJI-B2018-10 and P1-1B2015-16 | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://www.sciencedirect.com/science/article/pii/S0022247X19304603 | ca_CA |
dc.type.version | info:eu-repo/semantics/submittedVersion | ca_CA |
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