Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 6, Pages 28–33 (Mi vmumm107)  
Mathematics

Comparison of the system “Chaplygin ball with a rotor” and the Zhukovskii system from the rough Liouville equivalence point of view

A. I. Zhila

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A problem of symplectic geometry, namely, topological analysis of a rolling balanced dynamically nonsymmetric ball with a rotor on a rough horizontal plane is considered. The Liouville equivalence between this system and Zhukovskii's case is studied.
Key words: Chaplygin ball with a rotor, conformally Hamiltonian systems, Liouville foliation, Fomenko invariants.
Funding agency Grant number
Russian Science Foundation 17-11-01303
Received: 23.06.2017
English version:
Moscow University Mathematics Bulletin, 2017, Volume 72, Issue 6, Pages 245–250
DOI: https://doi.org/10.3103/S0027132217060055
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: A. I. Zhila, “Comparison of the system “Chaplygin ball with a rotor” and the Zhukovskii system from the rough Liouville equivalence point of view”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 6, 28–33; Moscow University Mathematics Bulletin, 72:6 (2017), 245–250
Citation in format AMSBIB
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