Present research is focused on the dynamics of the perturbation of semiconductor superlattice (SL) reference state near the generation threshold as for the case of influence of titled magnetic field as for the case when the magnetic field is absent. The evolution of the considered perturbation is described with the help of linearized evolution operator. It has been shown that increase of the applied voltage leads to decrease of the attenuation coefficient, which becomes zero in bifurcation point where stationary state loses it’s stability.
