Structure and dynamical behavior of non-normal networks.

Abstract:

:We analyze 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 behavior, as initial small disturbances may undergo a transient phase and be strongly amplified in linearly stable systems. In addition, eigenvalues may become extremely sensible to noise and have a diminished physical meaning. We identify structural properties of networks that are associated with non-normality and propose simple models to generate networks with a tunable 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.

journal_name

Sci Adv

journal_title

Science advances

authors

Asllani M,Lambiotte R,Carletti T

doi

10.1126/sciadv.aau9403

subject

Has Abstract

pub_date

2018-12-12 00:00:00

pages

eaau9403

issue

12

issn

2375-2548

pii

aau9403

journal_volume

4

pub_type

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