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

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DelshamsS2018DCDSPreprint.pdf (1,618Mb)
 
10.3934/dcds.2018261
 
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hdl:2117/126910

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Delshams Valdés, AmadeuMés informacióMés informacióMés informació
Gonçalves Schaefer, RodrigoMés informació
Document typeArticle
Defense date2018-12-01
PublisherAmerican Institute of Mathematical Sciences
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
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. 
URIhttp://hdl.handle.net/2117/126910
DOI10.3934/dcds.2018261
ISSN1078-0947
Publisher versionhttp://aimsciences.org//article/doi/10.3934/dcds.2018261
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