The Hojman Construction and Hamiltonization of Nonholonomic Systems
| dc.contributor.author | Bizyaev, I.A. | |
| dc.contributor.author | Borisov, A.V. | |
| dc.contributor.author | Mamaev, I.S. | |
| dc.date.accessioned | 2019-02-14T18:34:02Z | |
| dc.date.available | 2019-02-14T18:34:02Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | In this paper, using the Hojman construction, we give examples of various Poisson brackets which differ from those which are usually analyzed in Hamiltonian mechanics. They possess a nonmaximal rank, and in the general case an invariant measure and Casimir functions can be globally absent for them. | 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. Section 3 was prepared by A.V. Borisov under the RSF grant No. 15-12-20035. Section 2 was written by I.S. Mamaev within the framework of the state assignment for institutions of higher education. The work of I.A. Bizyaev (Sections 4 and 5) was supported by RFBR grant No. 15- 31-50172. The authors thank A.V. Tsiganov and A.V. Bolsinov for useful discussions and the referees for numerous comments, which have contributed to the improvement of this paper. | uk_UA |
| dc.identifier.citation | The Hojman Construction and Hamiltonization of Nonholonomic Systems / I.A. Bizyaev, A.V. Borisov, I.S. Mamaev // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 41 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 37J60; 37J05 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2016.012 | |
| dc.identifier.uri | https://nasplib.isofts.kiev.ua/handle/123456789/147435 | |
| 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.status | published earlier | uk_UA |
| dc.title | The Hojman Construction and Hamiltonization of Nonholonomic Systems | uk_UA |
| dc.type | Article | uk_UA |
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