Stability of limiting cycles in semiclassical model of single-mode solid-state laser

This paper is devoted to the theoretical investigation of ways of initiation of nonlinear dynamic modes in lasers with parameters´ modulation and study of influence of solid-state laser parameters´ variation, which characterize its structure or are the Q-spoiler control parameters on the laser dynamics. The objectives of the work are to determine the conditions of initiation of Hopf´s bifurcation in dynamic system, to study stability of periodical oscillations, which arise as a result of the loss of stationary solution stability, when one of the model´s parameters passes through its own bifurcation value.