Synchronization in networks with multiple interaction layers.

Abstract:

:The structure of many real-world systems is best captured by networks consisting of several interaction layers. Understanding how a multilayered structure of connections affects the synchronization properties of dynamical systems evolving on top of it is a highly relevant endeavor in mathematics and physics and has potential applications in several socially relevant topics, such as power grid engineering and neural dynamics. We propose a general framework to assess the 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 by applying it to a network of Rössler oscillators with a double layer of interactions and show that highly rich phenomenology emerges from this. This includes cases where the stability of synchronization can be induced even if both layers would have individually induced unstable synchrony, an effect genuinely arising from the true multilayer structure of the interactions among the units in the network.

journal_name

Sci Adv

journal_title

Science advances

authors

Del Genio CI,Gómez-Gardeñes J,Bonamassa I,Boccaletti S

doi

10.1126/sciadv.1601679

subject

Has Abstract

pub_date

2016-11-16 00:00:00

pages

e1601679

issue

11

issn

2375-2548

pii

1601679

journal_volume

2

pub_type

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