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.