Construction of Whiskers for the Quasiperiodically Forced Pendulum

Abstract

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.

50 pages

References in corpus (1)

• KAM Theorem and Quantum Field Theory

Cited by in corpus (2)

• Asymptotic Expansion of the Homoclinic Splitting Matrix for the Rapidly, Quasiperiodically, Forced Pendulum
• KAM Theorem and Renormalization Group