Herz, Andreas V. M.; Li, Z.; Hemmen, Jan Leo van
Statistical mechanics of temporal association in neural networks with transmission delays.
In: Physical review letters, Vol. 66, No. 10: pp. 1370-1373
We study the representation of static patterns and temporal sequences in neural networks with signal delays and a stochastic parallel dynamics. For a wide class of delay distributions, the asymptotic network behavior can be described by a generalized Gibbs distribution, generated by a novel Lyapunov functional for the determination dynamics. We extend techniques of equilibrium statistical mechanics so as to deal with time-dependent phenomena, derive analytic results for both retrieval quality and storage capacity, and compare them with numerical simulations.