Uniform modes of work of neurone networks-I. Steady modes

The equations describing the behaviour in time of a spatio-uniform neurone network are formulated. The state of the individual neurone is described by age and potentials, the dynamics, of the latter is determined by the synaptic current and the passive electrical characteristics. Steady solutions are found and the problem of the number of steady states in relation to the distribution function of the neurones of the network over the parameters is discussed. The conditions of existence of steady modes are analysed.