Integer lattices of action-angle variables for “spherical pendulum” system
E. O. Kantonistova · Moscow University Mathematics Bulletin · 2014
The topology of a “spherical pendulum” mechanical system is studied and an integer lattice generated by action-angle variables is constructed for this system. An algorithm computing numerical marks of Fomenko-Zieschang invariant and monodromy matrices using these lattices is described. This algorithm is applied to the “spherical pendulum” system.