Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structure and dynamical behaviour of non-normal networks   We analyse a collection of empirical networks in a wide spectrum of
disciplines and show that strong non-normality is ubiquitous in network
science. Dynamical processes evolving on non-normal networks exhibit a peculiar
behaviour, as initial small disturbances may undergo a transient phase and be
strongly amplified in linearly stable systems. Additionally, eigenvalues may
become extremely sensible to noise, and have a diminished physical meaning. We
identify structural properties of networks that are associated to non-normality
and propose simple models to generate networks with a tuneable level of
non-normality. We also show the potential use of a variety of metrics capturing
different aspects of non-normality, and propose their potential use in the
context of the stability of complex ecosystems.

22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph