We studied the slow electrical activity of the brain in people subjected to irradiation as a result of the Chernobyl accident and in healthy donors. The mean constant potential, which is an index of energy metabolism in different regions of the cerebral cortex, is reliably lower in eliminators, as compared to the donors, thus suggesting a postradiation energy deficiency of the brain. The structure of correlations between the constant potential indices is different: the number of significant correlations in the group of eliminators is lower by 30% than in the group of donors, thus suggesting disturbed intercentral relations in the CNS under the conditions of postradiation energy deficiency of the brain.