An integrable classical two-spin system

Abstract

An integrable classical two-spin system is considered with characteristics which are particularly suited for elucidating the properties of integrable systems with two degrees of freedom. The foliation of phase space by the rational and irrational tori is shown with projections onto a particular phase space plane, an expression for the winding number is obtained, and the dense coverage of the irrational tori by the quasiperiodic trajectories is easily demonstrated for this system.