A dynamic generalization of the Stoner-Wohlfarth (SW) model is presented, i
n which the applied field component h(az) parallel to the particle anisotro
py axis is slowly varied, whereas the one in the perpendicular plane, h(a p
erpendicular to), is rotated at the angular frequency omega. The Landau-Lif
shitz-Gilbert equation is solved to calculate the system response under the
constraint of spatially uniform magnetization at all times. Switching unde
r slowly varying h(az) is discussed. Various switching modes can occur in c
orrespondence of different types of bifurcation present in the dynamics. In
addition, it is shown that the system response can become quasiperiodic, w
ith spontaneous magnetization oscillations at a frequency definitely lower
than omega. (C) 2001 American Institute of Physics.