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We study the dynamics of neural activity in networks of interactive neural populations with periodic forcing. Two extreme cases of connection architectures are considered: (1) regular and homogeneous grid with local connections and (2) sparse random coupling. In the network of the first type, a propagating wave has been found for excitatory-to-excitatory local connections. It was shown that in the network with random excitatory and inhibitory connections about 60% of neural populations work in the oscillatory regime and some of these oscillations are synchronous. We discuss the regime of partial synchronization in the context of the cortical microcircuit.