  The results of numerical modeling of oscillations in a system of two coupled
oscillators operatingon the basis of a virtual cathode with controlled external
feedback are presented. It is shown that thereexist the modes with generation
of chaotic signals and synchronization modes with high signal-to-noise
ratio.The effect of parameters of the electron beam and external feedback on
the generation frequency of the systemand phase relations between the signals
generated in each module is analyzed
