Connection Topology and Dynamics in Lateral Inhibition Networks

Part of Advances in Neural Information Processing Systems 3 (NIPS 1990)

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C.M Marcus, F. Waugh, R. Westervelt


We show analytically how the stability of two-dimensional lateral inhibition neural networks depends on the local connection topology. For various network topologies, we calculate the critical time delay for the onset of oscillation in continuous-time networks and present analytic phase diagrams characterizing the dynamics of discrete-time networks.