E. I. Kugushev, A. S. Kuleshov, V. A. Mel'dianova, “On invariant manifolds of linear integrals of mechanic systems”, Keldysh Institute preprints, 2003,015, 20 pp.

On invariant manifolds of linear integrals of mechanic systems

E. I. Kugushev, A. S. Kuleshov, V. A. Mel'dianova

Abstract: Mechanic system invariant manifolds of energy and linear integrals are investigated. In some cases such manifolds are diffeomorphic to configuration space. Some examples are given: Euler rigid body with eccentric, symmetric sky on smooth surface.