Abstract:
The problem of rolling 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 from the same region correspond to isoenergy surfaces with identical Fomenko–Zieschang invariants.
Key words:Chaplygin ball with a rotor, conformally Hamiltonian systems, isoenergy surfaces, Fomenko–Zieschang invariants.
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