Construction of Whiskers for the Quasiperiodically Forced Pendulum

Details Construction of Whiskers for the Quasiperiodically Forced Pendulum Construction of Whiskers for the Quasiperiodically Forced Pendulum

2007-03-29

arxiv.org/abs/math-ph/0703084v1

Rev. Math. Phys. 19 (2007), no. 8, 823-877

Physics

Mathematical Physics

50 pages

Scientific paper

10.1142/S0129055X07003127

We study a Hamiltonian describing a pendulum coupled with several
anisochronous oscillators, giving a simple construction of unstable KAM tori
and their stable and unstable manifolds for analytic perturbations. We extend
analytically the solutions of the equations of motion, order by order in the
perturbation parameter, to a uniform neighbourhood of the time axis.

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