Pendulum: separatrix splitting

Details Pendulum: separatrix splitting Pendulum: separatrix splitting

1997-09-02

arxiv.org/abs/chao-dyn/9709004v1

Communications in Mathematical Physics, 202, 197--236, 1999

Nonlinear Sciences

Chaotic Dynamics

30 pages, one figure

Scientific paper

10.1007/s002200050579

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. Poincar\'e, 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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