Asymptotic properties of the Dulac map near a hyperbolic saddle in dimension three

@article{Bonckaert2001AsymptoticPO,
  title={Asymptotic properties of the Dulac map near a hyperbolic saddle in dimension three},
  author={P. Bonckaert and Vincent Naudot},
  journal={Annales de la Facult{\'e} des Sciences de Toulouse},
  year={2001},
  volume={10},
  pages={595-617}
}
Dans cet article, nous etudions l'application de Dulac associee a un champ de vecteurs definie au voisinage d'une singularite de type col, autrement dit l'application de passage de coin d'une section transverse a la variete stable de dimension 2 a une section transverse a la variete instable de dimension 1. Nous montrons, qu' a une fonction (dite de Mourtada) multiplicative pres, cette application s'ecrit comme si le champ etait localement lineaire. 

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