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math-ph2007★ 4 cited
Asymptotic Expansion of the Homoclinic Splitting Matrix for the Rapidly, Quasiperiodically, Forced Pendulum
Mikko Stenlund
We study a Hamiltonian describing a pendulum coupled with several anisochronous oscillators, devising an asymptotic expansion for the splitting (matrix) associated with a homoclini…
math-ph2007★ 4 cited
Construction of Whiskers for the Quasiperiodically Forced Pendulum
Mikko Stenlund
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 manifol…