Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noise Induced Pattern Switching in Randomly Distributed Delayed Swarm
  Patterns   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.

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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph