Cooperative Dynamics in a Network of Stochastic Elements with Delayed Feedback

Details Cooperative Dynamics in a Network of Stochastic Elements with Delayed Feedback Cooperative Dynamics in a Network of Stochastic Elements with Delayed Feedback

2005-03-11

arxiv.org/abs/cond-mat/0503287v1

Physics

Condensed Matter

Statistical Mechanics

14 pages, 19 figures. Accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.71.036150

Networks of globally coupled, noise activated, bistable elements with connection time delays are considered. The dynamics of these systems is studied numerically using a Langevin description and analytically using (1) a Gaussian approximation as well as (2) a dichotomous model. The system demonstrates ordering phase transitions and multi-stability. That is, for a strong enough feedback it exhibits nontrivial stationary states and oscillatory states whose frequencies depend only on the mean of the time delay distribution function. Other observed dynamical phenomena include coherence resonance and, in the case of non-uniform coupling strengths, amplitude death and chaos. Furthermore, an increase of the stability of the trivial equilibrium with increasing non-uniformity of the time delays is observed.

Affiliated with

Also associated with

No associations

Rating

Cooperative Dynamics in a Network of Stochastic Elements with Delayed Feedback 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 Cooperative Dynamics in a Network of Stochastic Elements with Delayed Feedback, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cooperative Dynamics in a Network of Stochastic Elements with Delayed Feedback will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-345155