Discontinuous Recall Transitions Induced by Competition Between Short- and Long-Range Interactions in Recurrent Networks

Part of Advances in Neural Information Processing Systems 11 (NIPS 1998)

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N. Skantzos, C. Beckmann, Anthony Coolen


We present exact analytical equilibrium solutions for a class of recur(cid:173) rent neural network models, with both sequential and parallel neuronal dynamics, in which there is a tunable competition between nearest(cid:173) neighbour and long-range synaptic interactions. This competition is found to induce novel coexistence phenomena as well as discontinuous transitions between pattern recall states, 2-cycles and non-recall states.