Noise Induced Pattern Switching in Randomly Distributed Delayed Swarm Patterns
Abstract
We study the effects of noise on the dynamics of a system of coupled self-propelling particles in the case where the coupling is time-delayed, and the delays are discrete and randomly generated. Previous work has demonstrated that the stability of a class of emerging patterns depends upon all moments of the time delay distribution, and predicts their bifurcation parameter ranges. Near the bifurcations of these patterns, noise may induce a transition from one type of pattern to another. We study the onset of these noise-induced swarm re-organizations by numerically simulating the system over a range of noise intensities and for various distributions of the delays. Interestingly, there is a critical noise threshold above which the system is forced to transition from a less organized state to a more organized one. We explore this phenomenon by quantifying this critical noise threshold, and note that transition time between states varies as a function of both the noise intensity and delay distribution.
Cite
@article{arxiv.1210.1581,
title = {Noise Induced Pattern Switching in Randomly Distributed Delayed Swarm Patterns},
author = {Brandon Lindley and Luis Mier-y-Teran-Romero and Ira B. Schwartz},
journal= {arXiv preprint arXiv:1210.1581},
year = {2012}
}