  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.
