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періодичних видань НАН України
періодичних видань НАН України
On Integrable Perturbations of Some Nonholonomic Systems
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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| dc.contributor.author | Tsiganov, A.V. | |
| dc.date.accessioned | 2019-02-13T17:44:02Z | |
| dc.date.available | 2019-02-13T17:44:02Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | On Integrable Perturbations of Some Nonholonomic Systems / A.V. Tsiganov // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 41 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 37J60; 70G45; 70H45 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2015.085 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147151 | |
| dc.description.abstract | Integrable perturbations of the nonholonomic Suslov, Veselova, Chaplygin and Heisenberg problems are discussed in the framework of the classical Bertrand-Darboux method. We study the relations between the Bertrand-Darboux type equations, well studied in the holonomic case, with their nonholonomic counterparts and apply the results to the construction of nonholonomic integrable potentials from the known potentials in the holonomic case. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue on Analytical Mechanics and Dif ferential Geometry in honour of Sergio Benenti. The full collection is available at http://www.emis.de/journals/SIGMA/Benenti.html. We are greatly indebted B. Jovanovi´c and the anonymous referees for a relevant contribution to improve the paper. The work on the revised, final version of this paper was supported by Russian Science Foundation (project No 15-12-20035). | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | On Integrable Perturbations of Some Nonholonomic Systems | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
