Arnold diffusion for a complete family of perturbations with two independent harmonics
Dynamical Systems
2018-04-24 v2
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.
Keywords
Cite
@article{arxiv.1710.00029,
title = {Arnold diffusion for a complete family of perturbations with two independent harmonics},
author = {Amadeu Delshams and Rodrigo G. Schaefer},
journal= {arXiv preprint arXiv:1710.00029},
year = {2018}
}
Comments
23 pages, 14 figures