Exact analytical results are presented For the nonlinear large motion of th
e magnetization vector in a body with uniaxial symmetry subject to a circul
arly polarized held. The absence of chaos, the existence of pure time-harmo
nic magnetization modes with no generation of higher-order harmonics, and t
he existence of quasiperiodic magnetization modes with spontaneous breaking
of the rotational symmetry are proven. Application to ferromagnetic resona
nce and connection with the Stoner-Wohlfarth model are discussed. DOI: 10.1
103/PhysRevLett.86.724.