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

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

2003-10-14

arxiv.org/abs/cond-mat/0310314v1

Physics

Condensed Matter

Statistical Mechanics

2 pages, 2 figures. To be published in the proceedings of "The 3rd International Symposium on Slow Dynamics in Complex Systems

Scientific paper

10.1063/1.1764201

The dynamics of an ensemble of bistable elements under the influence of noise and with global time-delayed coupling is studied numerically by using a Langevin description and analytically by using 1) a Gaussian approximation and 2) a dichotomous model. We find that for a strong enough positive feedback the system undergoes a phase transition and adopts a non-zero stationary mean field. A variety of coexisting oscillatory mean field states are found for positive and negative couplings. The magnitude of the oscillatory states is maximal for a certain noise temperature, i.e., the system demonstrates the phenomenon of coherence resonance. While away form the transition points the system dynamics is well described by the Gaussian approximation, near the bifurcations it is more adequately described by the dichotomous model.

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