  The theory of magnetized induced scattering off relativistic gyrating
particles is developed. It is directly applicable to the magnetosphere of a
pulsar, in which case the particles acquire gyration energies as a result of
resonant absorption of radio emission. In the course of the radio beam
scattering into background the scattered radiation concentrates along the
ambient magnetic field. The scattering from different harmonics of the particle
gyrofrequency takes place at different characteristic altitudes in the
magnetosphere and, because of the rotational effect, gives rise to different
components in the pulse profile. It is demonstrated that the induced scattering
from the first harmonic into the state under the resonance can account for the
so-called low-frequency component in the radio profile of the Crab pulsar. The
precursor component is believed to result from the induced scattering between
the two states well below the resonance. It is shown that these ideas are
strongly supported by the polarization data observed. Based on an analysis of
the fluctuation behaviour of the scattering efficiencies, the transient
components of a similar nature are predicted for other pulsars.
