Pulsating mode of asynchronous motors operation is finding wide application in various electric drives. In this regard, the problem of creating mathematical models of a pulsating mode, taking into account the real factors, becomes urgent. These models will allow to optimize the process of designing of the pulsing actuators based on asynchronous motors. The article describes mathematical models of the control processes of the asynchronous motor operating under pulsating mode, under different control laws. The results of modeling of transients in AM due regard for the influence of the current displacement in the windings of a squirrel-cage rotor, the saturation of the magnetic system, the magnetic lag angle on the parameters of the equivalent circuit of the asynchronous motor, and the comparison of these results with those obtained without taking into account these factors. The simulation results allow to conclude that real factors have a significant influence on the dynamic characteristics of asynchronous machines under pulsed mode, and should be taken into account in the analysis and design of pulsing actuators.