97-472 G. Gallavotti, G. Gentile, V. Mastropietro
Pendulum: separatrix splitting (125K, TeX (to print the figure complie with dvips, 1 figure, 30 pages)) Sep 3, 97
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Abstract. An exact expression for the determinant of the splitting matrix is derived: it allows us to analyze the asympotic behaviour needed to amend the large angles theorem proposed in {\rm Ann. Inst. H. Poincar\'e, B-60, 1, 1994}. The asymtotic validity of Melnikov's formulae is proved for the class of models considered, which include polynomial perturbations.

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