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

Abstract

A problem of symplectic geometry is considered, namely, topological analysis of a rolling dynamically balanced non-symmetric ball with a rotor on a rough horizontal plane is considered. The Liouville equivalence between this system and the Zhukovskii system is studied.