Juan J. Morales (Universidad Politécnica de Madrid): ON THE INTEGRABILITY OF POLYNOMIAL FIELDS IN THE PLANE BY MEANS OF PICARD-VESSIOT THEORY
- https://dynamicalsystems.upc.edu/ca/esdeveniments/congressos/seminari-de-sistemes-dinamics-ub-upc/juan-j.-morales-universidad-politecnica-de-madrid-on-the-integrability-of-polynomial-fields-in-the-plane-by-means-of-picard-vessiot-theory
- Juan J. Morales (Universidad Politécnica de Madrid): ON THE INTEGRABILITY OF POLYNOMIAL FIELDS IN THE PLANE BY MEANS OF PICARD-VESSIOT THEORY
- 2011-11-09T16:15:00+01:00
- 2011-11-09T17:15:00+01:00
Quan?
09/11/2011 de 16:15 a 17:15 (Europe/Madrid / UTC100)
On?
Aula T2 (2n pis), Facultat de Matemàtiques, UB.
Afegiu l'esdeveniment al calendari
(joint work with P. B. Acosta-Humánez, J. Tomás-Lázar and C. Pantazi)
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, Lienard equations and equations related
with special functions such as Hypergeometric and Heun ones.
We also study the Poincaré problem for some of the families.
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, Lienard equations and equations related
with special functions such as Hypergeometric and Heun ones.
We also study the Poincaré problem for some of the families.
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