Title:
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Integrability: a difficult analytical problem
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Author:
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Simó, Carles
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Other authors:
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Universitat de Barcelona |
Abstract:
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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 |
Subject(s):
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-Sistemes hamiltonians -Òrbites -Hamiltonian systems -Orbits |
Rights:
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(c) Universitat Autònoma de Barcelona, 1980
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Document type:
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Article Article - Published version |
Published by:
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Universitat Autònoma de Barcelona
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