A Mean-Field Model for Extended Stochastic Systems with Distributed Time Delays

Details A Mean-Field Model for Extended Stochastic Systems with Distributed Time Delays A Mean-Field Model for Extended Stochastic Systems with Distributed Time Delays

2005-01-26

arxiv.org/abs/cond-mat/0501650v1

Complex Systems Intelligence and Modern Technological Applications, 2004, eds. Rouff M., Contsaftis M., p. 108

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 figures

Scientific paper

A network of noisy bistable elements with global time-delayed couplings is considered. A dichotomous mean field model has recently been developed describing the collective dynamics in such systems with uniform time delays near the bifurcation points. Here the theory is extended and applied to systems with nonuniform time delays. For strong enough couplings the systems exhibit delay-independent stationary states and delay-dependent oscillatory states. We find that the regions of oscillatory states in the parameter space are reduced with increasing width of the time delay distribution function; that is, nonuniformity of the time delays increases the stability of the trivial equilibrium. However, for symmetric distribution functions the properties of the oscillatory states depend only on the mean time delay.

Affiliated with

Also associated with

No associations

Rating

A Mean-Field Model for Extended Stochastic Systems with Distributed Time Delays does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Mean-Field Model for Extended Stochastic Systems with Distributed Time Delays, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Mean-Field Model for Extended Stochastic Systems with Distributed Time Delays will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-430902