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dc.contributor.author Grigoryev, Y. A.
dc.contributor.author Sozonov, A.P.
dc.contributor.author Tsiganov, A.V.
dc.date.accessioned 2019-02-18T14:53:57Z
dc.date.available 2019-02-18T14:53:57Z
dc.date.issued 2016
dc.identifier.citation Integrability of Nonholonomic Heisenberg Type Systems / Y. A. Grigoryev, A.P. Sozonov, A.V. Tsiganov // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 25 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.2016.112
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/148541
dc.description.abstract We show that some modern geometric methods of Hamiltonian dynamics can be directly applied to the nonholonomic Heisenberg type systems. As an example we present characteristic Killing tensors, compatible Poisson brackets, Lax matrices and classical r-matrices for the conformally Hamiltonian vector fields obtained in a process of reduction of Hamiltonian vector fields by a nonholonomic constraint associated with the Heisenberg system. uk_UA
dc.description.sponsorship We are very grateful to the referees for thorough analysis of the manuscript, constructive suggestions and proposed corrections, which certainly lead to a more profound discussion of the results. We are also deeply grateful A.V. Borisov and I.A. Bizayev for the relevant discussion. Section 2 was written by A.V. Tsiganov and supported by the Russian Science Foundation (project 15-12-20035). Section 3 was written by Yu.A. Grigoryev and A.P. Sozonov within the framework of the Russian Science Foundation (project 15-11-30007). 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 Integrability of Nonholonomic Heisenberg Type Systems uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA

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