33 citations · 109 across the 9 of their papers we have counts for
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nlin.SI2016
Generalizations of the Kovalevskaya case and quaternions
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
This paper provides a detailed description of various reduction schemes in rigid body dynamics. Analysis of one of such nontrivial reductions makes it possible to order the cases a…
nlin.SI2016
The Hess-Appelrot system and its nonholonomic analogs
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
This paper is concerned with the nonholonomic Suslov problem and its generalization proposed by Chaplygin. The issue of the existence of an invariant measure with singular density…