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On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory
| dc.contributor.author | Lázaro Ochoa, José Tomás |
| dc.contributor.author | Morales Ruíz, Juan José |
| dc.contributor.author | Acosta Humánez, Primitivo Belén |
| dc.contributor.author | Pantazi, Chara |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
| dc.date.accessioned | 2012-01-24T10:37:56Z |
| dc.date.available | 2012-01-24T10:37:56Z |
| dc.date.created | 2012-01-12 |
| dc.date.issued | 2012-01-12 |
| dc.identifier.citation | Lázaro, J. [et al.]. "On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory". 2012. |
| dc.identifier.uri | http://hdl.handle.net/2117/14764 |
| dc.description.abstract | We study the integrability of polynomial vector fields using Galois theory of linear differential equations when the associated foliations is reduced to a Riccati type foliation. In particular we obtain integrability results for some families of quadratic vector fields, Li\'enard equations and equations related with special functions such as Hypergeometric and Heun ones. We also study the Poincar\'e problem for some of the families. |
| dc.format.extent | 27 p. |
| dc.language.iso | eng |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
| dc.subject.lcsh | Galois theory |
| dc.subject.lcsh | Differential equations, Linear |
| dc.title | On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory |
| dc.type | External research report |
| dc.subject.lemac | Camps vectorials |
| dc.subject.lemac | Galois, Teoria de |
| dc.subject.lemac | Equacions diferencials lineals |
| dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
| dc.relation.publisherversion | http://arxiv.org/abs/1012.4796v2 |
| dc.rights.access | Open Access |
| local.identifier.drac | 9367035 |
| dc.description.version | Preprint |
| local.citation.author | Lázaro, J.; Morales Ruíz, J.; Acosta, P.; Pantazi, C. |
| local.citation.publicationName | On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory |
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