- 02-166 I. Baldom , E. Fontich
- Exponentially small splitting of invariant manifolds of parabolic points.
Apr 3, 02
(auto. generated ps),
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Abstract. We consider families of one and a half degrees of freedom Hamiltonians
with high frequency periodic dependence on time, which are perturbations
of an autonomous system.
We suppose that the origin is a parabolic fixed point with non-diagonalizable linear part and that the unperturbed system has a homoclinic connexion associated to it. We provide a set of hypotheses under which the splitting is exponentially small and is given by the Poincar -Melnikov function.