Integrability of Nonholonomic Heisenberg Type Systems

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dc.contributor.authorGrigoryev, Y. A.
dc.contributor.authorSozonov, A.P.
dc.contributor.authorTsiganov, A.V.
dc.date.accessioned2019-02-18T14:53:57Z
dc.date.available2019-02-18T14:53:57Z
dc.date.issued2016
dc.description.abstractWe 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.sponsorshipWe 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.identifier.citationIntegrability 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 37J60; 70G45; 70H45
dc.identifier.otherDOI:10.3842/SIGMA.2016.112
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/148541
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleIntegrability of Nonholonomic Heisenberg Type Systemsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік