This monograph thoroughly examines models of neural systems described by delay-differential equations. Each element of the medium (neuron) is an oscillator which generates, in standalone mode, short impulses, so-called spikes. The book discusses models of synaptic interaction between neurons, which lead to complex oscillatory modes in the system. Moreover, the book presents a solution to the problem of choosing the parameters of interaction in order to obtain attractors with predetermined structure. These attractors are interpreted as the images encoded in the form of auto waves (wave memory). The target audience primarily comprises researchers and experts in the field, but the book may also be beneficial for graduate students.