Steady state and non-steady state of a semiconductor-ferroelectric in the presence of an electric field

The behavior of the light mode in a semiconductor-ferroelectric with an electric field is considered. A qualitative investigation of the obtained third-order dynamic system is made. Depending on the system parameters, there may be either three singular points or one singular point. Instability is possible at the first of these points, and, therefore, stochastic auto-oscillations may exist in addition to the regular auto-oscillations of the polarization and electric field intensity vectors. Hysteresis may arise under certain conditions, depending on the initial conditions of a given mode