The Geodesic Flow on a Two-Dimensional Ellipsoid in the Field of an Elastic Force. Topological Classification of Solutions / I. F. Kobtsev. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2018. № 2. P. 27-33 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 64-70].

The Liouville foliation of a system describing the motion of a material point on a 2-dimensional ellipsoid in the field of elastic force is considered. The main goal is to find the Fomenko–Zieschang invariants (isoenergetic molecules) of the system. To do that, the algebraic method of M.P. Kharlamov is used.

Key words: integrable Hamiltonian system, ellipsoid, geodesic flow, potential, Liouville foliation, separation of variables.

№ 2/2018