title: On bi-Hamiltonian formulation of the perturbed Kepler problem
metadata.name: dc.contributor.author
metadata.value: Grigoryev, Yury
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Tsiganov, Andrey
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-04-07T11:56:45Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-04-07T11:56:45Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2015-04
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Grigoryev 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.
metadata.lang: en_GB
metadata.name: dc.identifier.issn
metadata.value: 1751-8113
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://dx.doi.org/10.1088/1751-8113/48/17/175206
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/1900
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The 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.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: RFBR grant 13-01-00061, SPbU grant 11.38.664.2013
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: J. Phys. A: Math. Theor.
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: bi-Hamiltonian geometry
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Kepler problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: action-angle variables
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On bi-Hamiltonian formulation of the perturbed Kepler problem
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 1504.02211v1.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/1900/1/1504.02211v1.pdf
resources.format: Adobe PDF
resources.size: 113,01 kB