Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resilience for stochastic systems interacting via a quasi-degenerate
  network   A stochastic reaction-diffusion model is studied on a networked support. In
each patch of the network two species are assumed to interact following a
non-normal reaction scheme. When the interaction unit is replicated on a
directed linear lattice, noise gets amplified via a self-consistent process
which we trace back to the degenerate spectrum of the embedding support. The
same phenomenon holds when the system is bound to explore a quasi degenerate
network. In this case, the eigenvalues of the Laplacian operator, which governs
species diffusion, accumulate over a limited portion of the complex plane. The
larger the network, the more pronounced the amplification. Beyond a critical
network size, a system deemed deterministically stable, hence resilient, may
turn unstable, yielding seemingly regular patterns in the concentration amount.
Non-normality and quasi-degenerate networks may therefore amplify the inherent
stochasticity, and so contribute to altering the perception of resilience, as
quantified via conventional deterministic methods.

17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg