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On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory

Autor
Lazaro, J. Tomás; Morales, J.; Acosta, P.; Pantazi, C.
Tipus d'activitat
Document cientificotècnic
Data
2012-01-12
Repositori
http://hdl.handle.net/2117/14764 Obrir en finestra nova
URL
http://arxiv.org/abs/1012.4796v2 Obrir en finestra nova
Resum
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.
Citació
Lázaro, J. [et al.]. "On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory". 2012.
Grup de recerca
EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
SD - Sistemes Dinàmics

Participants

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