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1980

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/132429

Integrability: a difficult analytical problem

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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

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Sistemes hamiltonians, Òrbites

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Hamiltonian systems, Orbits

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Articles publicats en revistes (Matemàtiques i Informàtica)

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SIMÓ, Carles. Integrability: a difficult analytical problem. Publicacions Matemàtiques. 1980. Vol. 22, num. 71-80. ISSN 0214-1493. [consulted: 8 of June of 2026]. Available at: https://hdl.handle.net/2445/132429

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