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dc.contributor.authorGrigoryev, Yury-
dc.contributor.authorTsiganov, Andrey-
dc.identifier.citationGrigoryev Y.A., Tsiganov A.V., On bi-Hamiltonian formulation of the perturbed Kepler problem, J. Phys. A: Math. Theor. 48 (2015), 175206, 7 pages, arXiv:1504.02211.en_GB
dc.description.abstractThe perturbed Kepler problem is shown to be a bi-Hamiltonian system in spite of the fact that the graph of the Hamilton function is not a hypersurface of translation, which goes against a necessary condition for the existence of the bi-Hamiltonian structure according to the Fernandes theorem. In fact, the initial and perturbed Kepler systems are both isochronous systems and, therefore, the Fernandes theorem cannot be applied to them.en_GB
dc.description.sponsorshipRFBR grant 13-01-00061, SPbU grant 11.38.664.2013en_GB
dc.publisherJ. Phys. A: Math. Theor.en_GB
dc.subjectbi-Hamiltonian geometryen_GB
dc.subjectKepler problemen_GB
dc.subjectaction-angle variablesen_GB
dc.titleOn bi-Hamiltonian formulation of the perturbed Kepler problemen_GB
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