DBk � 1 ( k �

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cancellations in the perturbation series of certain completely integrable Hamiltonian systems. and existence of heteroclinic chains in Hamiltonian three time scales systems, Preprint, 1997. Ge1] Gentile, G: A proof of existence of whiskered tori with quasi at homoclinic intersections in a class of almost integrable Hamiltonians systems, Forum Mathematicum 17 Draft #1 DB k?1 (k ? 1)!? 0 C(;) ?1 because one does not have to invert to nd it from the bounds on the higher order terms of (3.1), and one thus saves a division by ? 0 C(;) ?1. Hence we x D = E 0 ? ?1 0 C(;) and, with this choice, the conditions imposed to get the above bounds, are all implied by:

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تاریخ انتشار 1998