On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory
Visualitza/Obre
Tipus de documentReport de recerca
Data publicació2012-01-12
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
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.
CitacióLázaro, J. [et al.]. "On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory". 2012.
URL repositori externhttp://arxiv.org/abs/1012.4796v2
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
1012-AcostaLazaroMoralesPantazi2010.pdf | article principal | 331,0Kb | Visualitza/Obre |