  A simple model, describing the dynamics of the non-equilibrium pseudospin of
a homogeneous Bose-Einstein condensate of exciton polaritons, has been
formulated. It explains the suppression of spin splitting of a non-equilibrium
polariton condensate in an external magnetic field, the optical alignment, and
the conversion of alignment into orientation of polaritons. It has been shown
that inverse effects are possible, to wit, the spontaneous circular
polarization and the enhancement of spin splitting of a non-equilibrium
condensate of polaritons in the absence of external field.
