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Cyclicité finie des polycycles hyperboliques de champs de vecteurs du plan. Algorithme de finitude
Using the Normalisation Theorem of Mourtada (Lect. Notes. in Math., no 1445, pp. 272-314), we show that generic hyperbolic polycycles are of finite cyclicity in C ∞ families of vector fields on the plane. A consequence is that the Hilbert 16th problem is locally true in some open and dense …