  Precessing ball solitons (PBS) in a ferromagnet during the first order phase
transition induced by a magnetic field directed along the axis of anisotropy,
while the action of the periodic field perpendicular to the main magnetic
field, have been analyzed. Under this condition, the characteristics of arising
equilibrium PBS's are uniquely determined by the frequency of the periodic
field, but the solitons with other frequencies are impossible. It is shown that
the equilibrium PBS's are essentially the "dissipative structures" that can
arise in a metastable state.
