Integer lattices of action variables for the "spherical pendulum" system / E. O. Kantonistova. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2014. № 4. P. 6-17 [Moscow Univ. Math. Bulletin. Vol. 69, N 4, 2014.].
In this paper we study the topology of a "spherical pendulum" system and construct the lattice generated by lines of integer levels of action variables for this system. We describe an algorithm for computing numerical marks of Fomenko-Zieschang invariant and monodromy matrices using these lattices. We apply this algorithm to a "spherical pendulum" system.
Key words: Hamiltonian monodromy, action variables, integrable Hamiltonian systems, rigid body, Fomenko-Zieschang invariant.