  The problem of synchronization in networks of neural mass model populations
with discrete couplings is considered. The considered network is hybrid one,
therefore Mikheev approach is applied to transform it to the network with
time-varying delayed couplings. Thus the problem of hybrid network
synchronization is reduced to the studying of synchronization in networks with
delayed couplings, which was previously solved by analytical means. It is
showed that the Laplace matrix spectrum and maximum sampling interval are
defining for networks dynamics. The dynamics of 5 neural mass model populations
with discrete couplings was simulated for 3 different situations. The first
case deal with the asymptotic synchronization, when both maximum eigenvalue of
Laplacian and maximum sampling interval are small enough. The second case is
about e-synchronization, which is achieved for small enough maximum eigenvalue
of Laplacian and big sampling intervals. And the last case is desynchronization
of oscillations, which has been observed for big values of Laplacian
eigenvalues and sampling intervals.
