  The article deals with spin s=1 magnets. The symmetry conditions for normal
and degenerate equilibrium states are defined and types of magnetic ordering
found out. For each type of symmetry breaking the structure of source in the
Gibbs statistical operator has been obtained and additional thermodynamic
parameters introduced. The algebra of Poisson bracket for magnetic degrees of
freedom has been established and nonlinear dynamic equations have been derived.
Using the models of the exchange interaction, we have calculated the spectra of
collective excitations for two degenerate states whose order parameters have
digerent signature under the time reversal transformation.
