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Regular and Chaotic Dynamics, 2009, Volume 14, Issue 4-5, Pages 495–505
DOI: https://doi.org/10.1134/S1560354709040066 (Mi rcd978) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Proceedings of GDIS 2008, Belgrade

Hamiltonization of the generalized Veselova LR system

Yu. N. Fedorova, B. Jovanovićb

a Departament de Matemática I, Universitat Politecnica de Catalunya, Barcelona, E-08028 Spain
b Mathematical Institute SANU, Kneza Mihaila 36, 11000, Belgrade, Serbia
Citations (16)
DOI: https://doi.org/10.1134/S1560354709040066
Abstract: We revise the solution to the problem of Hamiltonization of the $n$-dimensional Veselova non-holonomic system studied previously in [1]. Namely, we give a short and direct proof of the hamiltonization theorem and also show the trajectorial equivalence of the problem with the geodesic flow on the ellipsoid.
Keywords: nonholonomic systems, integrability, geodesic flows.
Received: 06.02.2009
Accepted: 23.03.2009
Bibliographic databases:
Document Type: Personalia
MSC: 37J60, 37J35, 70H45
Language: English
Citation: Yu. N. Fedorov, B. Jovanović, “Hamiltonization of the generalized Veselova LR system”, Regul. Chaotic Dyn., 14:4-5 (2009), 495–505
Citation in format AMSBIB
\Bibitem{FedJov09}
\by Yu. N. Fedorov, B. Jovanovi\'c
\paper Hamiltonization of the generalized Veselova LR system
\jour Regul. Chaotic Dyn.
\yr 2009
\vol 14
\issue 4-5
\pages 495--505
\mathnet{http://mi.mathnet.ru/rcd978}
\crossref{https://doi.org/10.1134/S1560354709040066}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2551872}
\zmath{https://zbmath.org/?q=an:1229.37086}
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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