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The Hojman Construction and Hamiltonization of Nonholonomic Systems

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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

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