Vi. Nekorkin et al., CONTROLLED DISORDERED PATTERNS AND INFORMATION-TRANSFER BETWEEN COUPLED NEURAL LATTICES WITH OSCILLATORY STATES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(3), 1998, pp. 3344-3351
The problem of reproduction of spatial images by lattices of oscillati
ng neural units is discussed. We consider that each neuron can be at r
est or can oscillate with fixed frequency and that the neurons are cou
pled electrically by a resistor. Then one layer of neurons, one lattic
e, is coupled to another similar layer. It is shown that for strong en
ough 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 e
ven when the number of interlattice couplings is much smaller than the
number of neurons in either lattice. Moreover, the spatial features o
f the images do not depend on the features of the eigenexcitations of
the neural lattices, which are discrete, active nonequilibrium media.