| Abstract [eng] |
The mutual synchronization system of the communication network, composed of four oscillators, is investigated in the work. Following aims were raised in this work: to compose the mathematical model of the synchronization system, to find the exact expressions of the step responses of the system and of the phase differences of the oscillations of oscillators, to investigate the transients in the synchronization system. The mathematical model of the system is the matrix differential equation with delayed argument. This equation is solved applying the method of consequent integration (method of “steps”). For this purpose the interval is divided to subintervals of equal length. The equation in each subinterval is solved separately, as ordinary differential equation without delayed argument. Using obtained expression of the solution, the expressions of step responses of the system are got. The expressions of step responses are applied investigating the transients in the synchronization system. |
