Abstract
The problem of rolling the balanced dynamically nonsymmetric ball with a rotor on a rough horizontal plane is considered. Topological types of isoenergy surfaces of this integrable Hamiltonian system are found. Curves are constructed on the plane of the parameters \(\mathbb{R}^{2}(h,c)\) separating it into regions so that all points of the same region correspond to isoenergy surfaces with identical Fomenko–Zieschang invariants.
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ACKNOWLEDGMENTS
I am grateful to A. T. Fomenko and A. A. Oshemkova for formulation of the problem and helpful remarks.
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Translated by I. Obrezanova
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Zhila, A.I. Topological Types of Isoenergy Surfaces in the System of the Chaplygin Ball with a Rotor. Moscow Univ. Math. Bull. 75, 134–138 (2020). https://doi.org/10.3103/S0027132220030080
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DOI: https://doi.org/10.3103/S0027132220030080