Hamiltonization of the generalized Veselova LR system

We revise the solution to the problem of Hamiltonization of the n -dimensional Veselova nonholonomic 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 ellip...

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Bibliographic Details
Published in:Regular & chaotic dynamics 2009-08, Vol.14 (4-5), p.495-505
Main Authors: Fedorov, Yu. N., Jovanović, B.
Format: Article
Language:English
Subjects:
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
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Summary:We revise the solution to the problem of Hamiltonization of the n -dimensional Veselova nonholonomic 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.
ISSN:1560-3547
1560-3547
1468-4845
DOI:10.1134/S1560354709040066