The Hojman Construction and Hamiltonization of 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, 2016, том 12
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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.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	http://dspace.nbuv.gov.ua/handle/123456789/147435
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.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	The Hojman Construction and Hamiltonization of Nonholonomic Systems	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA