Pendulum: separatrix splitting

G. Gallavotti; G. Gentile; V. Mastropietro

doi:10.1007/s002200050579

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arXiv · chao-dyn/9709004

Pendulum: separatrix splitting

G. Gallavotti·G. Gentile·V. Mastropietro

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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 Ann. Inst. H. Poincaré, B-60, 1, 1994. The asymptotic validity of Melnokov's formulae is proved for the class of models considered, which include polynomial perturbations.

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G. Gallavotti, G. Gentile, V. Mastropietro. 1997-09-02. Pendulum: separatrix splitting. https://doi.org/10.1007/s002200050579

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