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

View/Open
Cita com:
hdl:2117/126910
Document typeArticle
Defense date2018-12-01
PublisherAmerican Institute of Mathematical Sciences
Rights accessOpen Access
This work is protected by the corresponding intellectual and industrial property rights.
Except where otherwise noted, its contents are licensed under a Creative Commons license
:
Attribution-NonCommercial-NoDerivs 3.0 Spain
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
CitationDelshams, A., Gonçalves, R. Arnold diffusion for a complete family of perturbations with two independent harmonics. "Discrete and continuous dynamical systems. Series A", 1 Desembre 2018, vol. 38, núm. 12, p. 6047-6072.
ISSN1078-0947
Publisher versionhttp://aimsciences.org//article/doi/10.3934/dcds.2018261
Collections
Files | Description | Size | Format | View |
---|---|---|---|---|
DelshamsS2018DCDSPreprint.pdf | 1,618Mb | View/Open |