Controlled disordered patterns and information transfer between coupled neural lattices with oscillatory states

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Abstract
The problem of reproduction of spatial images by lattices of oscillating neural units is discussed. We consider that each neuron can be at rest or can oscillate with fixed frequency and that the neurons are coupled electrically by a resistor. Then one layer of neurons, one lattice, is coupled to another similar layer. It is shown that for strong enough interlattice interaction relative to the intralattice diffusion, the shape of the pattern on one lattice is determined uniquely by the image of the other. The reproduction of a stimulus shape is possible even when the number of interlattice couplings is much smaller than the number of neurons in either lattice. Moreover, the spatial features of the images do not depend on the features of the eigenexcitations of the neural lattices, which are discrete, active nonequilibrium media.