The behavior of a spherical ferromagnetic particle having magnetic anisotro
py of the "light axis" type was studied in a volume of liquid rotating as a
n entity in a vortex flow under the effect of a weak (compared to the field
of the magnetic anisotropy of the particle) magnetic field normal to the r
otation axis (the whirl). Depending on the rotation frequency, this problem
has two known stationary solutions for the orientation of the light axis f
or a rigid dipole. At frequencies below some critical value, the light axis
is in the plane perpendicular to the vortex, and the particle is retained
by the field in the quiescent state. In the supercritical stationary state,
the weak axis is in the plane perpendicular to the field, approaching some
specific direction of the rotation axis with an increase in frequency; the
particle rotates around the light axis with a permanent velocity. It was f
ound that if the supercritical stationary state of the rigid dipole is neut
ral, and it is supplemented by the uncountable quantity of periodic motions
of the light axis, the infinitesimally small freedom that is allowed for t
he magnetic moment tends to stabilize the particle in this state. Experimen
ts supported the fact that the uniaxial particle is characterized by the pr
esence of a high-frequency attractor.