Pendulum: separatrix splitting
chao-dyn
2009-10-30 v1 Chaotic Dynamics
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. 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.
Cite
@article{arxiv.chao-dyn/9709004,
title = {Pendulum: separatrix splitting},
author = {G. Gallavotti and G. Gentile and V. Mastropietro},
journal= {arXiv preprint arXiv:chao-dyn/9709004},
year = {2009}
}
Comments
30 pages, one figure