Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Component response rate variation underlies the stability of highly
  complex finite systems   The stability of a complex system generally decreases with increasing system
size and interconnectivity, a counterintuitive result of widespread importance
across the physical, life, and social sciences. Despite recent interest in the
relationship between system properties and stability, the effect of variation
in response rate across system components remains unconsidered. Here I vary the
component response rates ($\boldsymbol{\gamma}$) of randomly generated complex
systems. I use numerical simulations to show that when component response rates
vary, the potential for system stability increases. These results are robust to
common network structures, including small-world and scale-free networks, and
cascade food webs. Variation in $\boldsymbol{\gamma}$ is especially important
for stability in highly complex systems, in which the probability of stability
would otherwise be negligible. At such extremes of simulated system complexity,
the largest stable complex systems would be unstable if not for variation in
$\boldsymbol{\gamma}$. My results therefore reveal a previously unconsidered
aspect of system stability that is likely to be pervasive across all realistic
complex systems.

28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg