The Geodesic Flow on a Two-Dimensional Ellipsoid in the Field of an Elastic Force. Topological Classification of Solutions
I. F. Kobtsev · Moscow University Mathematics Bulletin · 2018
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.