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Networks of globally coupled, noise activated, bistable elements withconnection time delays are considered. The dynamics of these systems is studiednumerically using a Langevin description and analytically using (1) a Gaussianapproximation as well as (2) a dichotomous model. The system demonstratesordering phase transitions and multi-stability. That is, for a strong enoughfeedback it exhibits nontrivial stationary states and oscillatory states whosefrequencies depend only on the mean of the time delay distribution function.Other observed dynamical phenomena include coherence resonance and, in the caseof non-uniform coupling strengths, amplitude death and chaos. Furthermore, anincrease of the stability of the trivial equilibrium with increasingnon-uniformity of the time delays is observed.Comment: 14 pages, 19 figures. Accepted for publication in Phys. Rev.

Cooperative dynamics in a network of stochastic elements with delayed feedback