 97472 G. Gallavotti, G. Gentile, V. Mastropietro
 Pendulum: separatrix splitting
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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, B60,
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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