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The dynamics of an ensemble of bistable elements under the influence of noiseand with global time-delayed coupling is studied numerically by using aLangevin description and analytically by using 1) a Gaussian approximation and2) a dichotomous model. We find that for a strong enough positive feedback thesystem undergoes a phase transition and adopts a non-zero stationary meanfield. A variety of coexisting oscillatory mean field states are found forpositive and negative couplings. The magnitude of the oscillatory states ismaximal for a certain noise temperature, i.e., the system demonstrates thephenomenon of coherence resonance. While away form the transition points thesystem dynamics is well described by the Gaussian approximation, near thebifurcations it is more adequately described by the dichotomous model.Comment: 2 pages, 2 figures. To be published in the proceedings of "The 3rd  International Symposium on Slow Dynamics in Complex Systems", eds. M.  Tokuyama, I. Oppenheim, AIP Conf. serie

Dynamics in a Bistable-Element-Network with Delayed Coupling and Local Noise