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, Number 6,Pages <nobr>28

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

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.

UDC: 511

Received: 23.06.2017