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A class of polynomial planar vector fields with polynomial first integral
dc.contributor.author | Ferragut, Antoni | |
dc.contributor.author | Galindo, Carlos | |
dc.contributor.author | Monserrat, Francisco | |
dc.date.accessioned | 2016-01-22T11:20:21Z | |
dc.date.available | 2016-01-22T11:20:21Z | |
dc.date.issued | 2015-10 | |
dc.identifier.citation | Ferragut, A., Galindo, C., & Monserrat, F. (2015). A class of polynomial planar vector fields with polynomial first integral. Journal of Mathematical Analysis and Applications, 430(1), 354-380. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/146328 | |
dc.description.abstract | We give an algorithm for deciding whether a planar polynomial differential system has a first integral which factorizes as a product of defining polynomials of curves with only one place at infinity. In the affirmative case, our algorithm computes a minimal first integral. In addition, we solve the Poincaré problem for the class of systems which admit a polynomial first integral as above in the sense that the degree of the minimal first integral can be computed from the reduction of singularities of the corresponding vector field. | ca_CA |
dc.format.extent | 26 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.relation.isPartOf | Journal of Mathematical Analysis and Applications Volume 430, Issue 1, 1 October 2015 | ca_CA |
dc.rights | Copyright © 2015 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 | Polynomial first integral | ca_CA |
dc.subject | Reduction of singularities | ca_CA |
dc.subject | Blow-up | ca_CA |
dc.subject | Invariant algebraic curve | ca_CA |
dc.subject | Curve with only one place at infinity | ca_CA |
dc.title | A class of polynomial planar vector fields with polynomial first integral | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1016/j.jmaa.2015.04.062 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0022247X15003935 | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion |
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