  The quasiclassical dynamics is studied for charge carriers moving on the
surface of 3D topological insulator of Bi2Te3 type and subjected to static
magnetic field. The effects connected to the symmetry changes of electron
isoenergetic surfaces (contours) and to the nonzero Berry curvature are taken
into account. It is shown that in contrast to the standard dynamics of the
electrons moving in constant and uniform magnetic field along the trajectories
defined by the equations E(k)=const and pz=const, here some new effects are
arising, being related to both the appearance of the anomalous velocity term
proportional to the Berry curvature, and to the trajectory bending related to
the additional term for the energy proportional to the orbital momentum of the
wavepacket. This should lead to the changes in cyclotron resonance conditions
of the surface electrons. Although the time reversal invariance and the
topological order are broken in the magnetic field, the investigation of
cyclotron resonance allows determining whether this insulator was trivial or
nontrivial at zero magnetic field.
