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arXiv · 1710.00029

Arnold diffusion for a complete family of perturbations with two independent harmonics

Amadeu Delshams·Rodrigo G. Schaefer
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Abstract

We prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical method and relies on the concrete computation of several scattering maps. A complete description of the different kinds of scattering maps taking place as well as the existence of piecewise smooth global scattering maps is also provided.

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Amadeu Delshams, Rodrigo G. Schaefer. 2018-04-22. Arnold diffusion for a complete family of perturbations with two independent harmonics. https://arxiv.org/abs/1710.00029

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