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Title: | Integrability: a difficult analytical problem |
Author: | Simó, Carles |
Keywords: | Sistemes hamiltonians Òrbites Hamiltonian systems Orbits |
Issue Date: | 1980 |
Publisher: | Universitat Autònoma de Barcelona |
Abstract: | Generically hamiltonian systems are non integrable o However there are few tools in order to prove that a given system is nonintegrableo For two degrees of freedom the usual methods rely upon the appearance of tran~ versal homoclinic or heteroclinic orbitso The transversal character is shown through evaluation of integrals along orbitso Such computation requl res the knowledgement of a one parameter family of periodic orbits and an explicit solution for the unperturbed (integrable) caseo Oue to the dependence of the form exp(-C/epsilon K) of the angle measuring transversality with respect to the perturbation parameter, none of the approximations of pertu~ bation theory is enough to establish nonintegrabilityo |
Note: | Reproducció del document publicat a: http://mat.uab.cat/pubmat/articles/view_doi/10.5565/PUBLMAT_22180_13 |
It is part of: | Publicacions Matemàtiques, 1980, vol. 22, p. 71-80 |
URI: | http://hdl.handle.net/2445/132429 |
ISSN: | 0214-1493 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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114074.pdf | 400.9 kB | Adobe PDF | View/Open |
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