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pro vyhledávání: '"Rodrigo G. Schaefer"'
Autor:
Amadeu Delshams, Rodrigo G. Schaefer
Publikováno v:
Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
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
Autor:
Amadeu Delshams, Rodrigo G. Schaefer
Publikováno v:
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname
In this work we illustrate the Arnold diffusion in a concrete example — the a priori unstable Hamiltonian system of 2 + 1/2 degrees of freedom H(p, q, I, φ, s) = p 2/2+ cos q − 1 + I 2/2 + h(q, φ, s; e) — proving that for any small periodic p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c715fc93a51657c7b4f6aa8b9337fca0
https://hdl.handle.net/2117/104532
https://hdl.handle.net/2117/104532
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 472:20160020
D.G.D. gratefully acknowledges support for this research from CNPq (Conselho Nacional de Desenvolvimento Cientifico e Tecnologico ) and FINEP (Inovação e Pesquisa) in Brazil, and from the UK Engineering and Physical Sciences Research Council (grant