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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 tha...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's Version

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Publisher copy:
10.1126/sciadv.aau9403

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
Somerville College
Role:
Author
ORCID:
0000-0002-0583-4595
Publisher:
American Association for the Advancement of Science Publisher's website
Journal:
Science Advances Journal website
Volume:
4
Issue:
12
Pages:
eaau9403
Publication date:
2018-12-12
Acceptance date:
2018-11-14
DOI:
EISSN:
2375-2548
Pubs id:
pubs:942612
URN:
uri:e18fcce0-131c-4df7-89cb-5b017f8ee0bf
UUID:
uuid:e18fcce0-131c-4df7-89cb-5b017f8ee0bf
Local pid:
pubs:942612

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