Synchronization in networks with multiple interaction layers

Charo del Genio, Jesús Gómez-Gardeñes, Ivan Bonamassa, Stefano Boccaletti

Research output: Contribution to journalArticle

36 Citations (Scopus)
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Abstract

The structure of many real-world systems is best captured by networks consisting of several interaction layers. Understanding how a multi-layered structure of connections affects the synchronization properties of dynamical systems evolving on top of it is a highly relevant endeavour in mathematics and physics, and has potential applications to several socially relevant topics, such as power grids engineering and neural dynamics. We propose a general framework to assess stability of the synchronized state in networks with multiple interaction layers, deriving a necessary condition that generalizes the Master Stability Function approach. We validate our method applying it to a network of Rössler oscillators with a double layer of interactions, and show that highly rich phenomenology emerges. This includes cases where the stability of synchronization can be induced even if both layers would have individually induced unstable synchrony, an effect genuinely due to the true multi-layer structure of the interactions amongst the units in the network.
Original languageEnglish
Article numbere1601679
JournalScience Advances
Volume2
DOIs
Publication statusPublished - 16 Nov 2016
Externally publishedYes

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synchronism
interactions
mathematics
phenomenology
dynamical systems
laminates
grids
oscillators
engineering
physics

Bibliographical note

Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.

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Synchronization in networks with multiple interaction layers. / del Genio, Charo; Gómez-Gardeñes, Jesús; Bonamassa, Ivan; Boccaletti, Stefano.

In: Science Advances, Vol. 2, e1601679, 16.11.2016.

Research output: Contribution to journalArticle

del Genio, Charo ; Gómez-Gardeñes, Jesús ; Bonamassa, Ivan ; Boccaletti, Stefano. / Synchronization in networks with multiple interaction layers. In: Science Advances. 2016 ; Vol. 2.
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