Dynamics of generalized Lagrange top.

A non-autonomous dynamical system corresponding to the possible deformation of Lagrange case of integrability for the rigid body motion is considered. This Hamiltonian dynamical system is obtained as a result of averaging an external disturbance acting on an axisymmetric top. The momentum map is defined by the help of set of first integrals. Corresponding bifurcation diagram for such a system was constructed and investigated, as a result, here we explore a stability of absolute equilibrium points, as well as special periodic motions, such as regular precessions. [ABSTRACT FROM AUTHOR]