I. Baldoma, E. Fontich,R. de la Llave, P. Martin
The parameterization method for one-dimensional invariant 
manifolds of  higher dimensional parabolic fixed points
(708K, PS)

ABSTRACT.  We use the parameterization method to prove the existence 
and properties of  one-dimensional submanifolds of the center 
manifold associated to the fixed point of C^r
maps with linear part equal to the identity. These maps 
appear as Poincare maps in Celestial Mechanics.