05-307 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) Sep 8, 05

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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.

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