Investigation of fixed points and dynamics in optically oriented electron-nucleus spin system in semiconductors

A theoretical investigation of the model of an optically oriented electron-nucleus spin system in semiconductors was carried out. This model allows us to describe the dynamical behaviour of the system observed experimentally. Domains in the parameter space were obtained where the system under investigation has: three fixed points, five fixed points, an auto-oscillation regime, and a two-frequency regime. Moreover, the values of the parameters were determined which show the existence of a chaotic regime. Fourier analysis and a study of the dimension of the attractor for two-frequency and chaotic regimes were undertaken