Analysis of Synchronization Systems Using Numerical Methods

The difference schemes for Fokker-Planck-Kolmogorov equations and Pontryagin equations are offered, which make it possible to find numerically the statistical characteristics of synchronization systems in the transient mode with different discrimination characteristics of the phase detector and with nonzero detuning between frequencies of the controllable generator and the signal, which is impossible to perform using the known analytical procedures. The procedure for estimating the functional series convergence for the probability distribution density in the stationary mode is given, which serves for estimation of the numerical method accuracy. It is shown that the offered procedures of numerical solving require no substantial consumption of computer time and can be implemented at standard personal computers.