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• W2949834970 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. The Poincar'e problem for some families is also approached." @default.
• W2949834970 created "2019-06-27" @default.
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• W2949834970 date "2010-12-21" @default.
• W2949834970 modified "2023-09-27" @default.
• W2949834970 title "On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory" @default.
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