On Integrable Perturbations of Some Nonholonomic Systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Integrable Perturbations of Some Nonholonomic Systems
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| Creator |
Tsiganov, A.V.
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| Description |
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.
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| Date |
2019-02-13T17:44:02Z
2019-02-13T17:44:02Z 2015 |
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| Type |
Article
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| Identifier |
On Integrable Perturbations of Some Nonholonomic Systems / A.V. Tsiganov // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 41 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 37J60; 70G45; 70H45 DOI:10.3842/SIGMA.2015.085 http://dspace.nbuv.gov.ua/handle/123456789/147151 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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