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Synchronization in networks with multiple interaction layers
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Del Genio, Charo I., Gomez-Gardenes, J., Bonamassa, I. and Boccaletti, S. (2016) Synchronization in networks with multiple interaction layers. Science Advances, 2 (11). e1601679. doi:10.1126/sciadv.1601679
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Official URL: http://dx.doi.org/10.1126/sciadv.1601679
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.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QP Physiology T Technology > TK Electrical engineering. Electronics Nuclear engineering |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Life Sciences (2010- ) | ||||||
| Library of Congress Subject Headings (LCSH): | Topological dynamics , Neural networks (Neurobiology), Electric networks | ||||||
| Journal or Publication Title: | Science Advances | ||||||
| Publisher: | American Association for the Advancement of Science | ||||||
| ISSN: | 2375-2548 | ||||||
| Official Date: | 16 November 2016 | ||||||
| Dates: |
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| Volume: | 2 | ||||||
| Number: | 11 | ||||||
| Article Number: | e1601679 | ||||||
| DOI: | 10.1126/sciadv.1601679 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Funder: | Spain. Ministerio de Economía y Competitividad [Ministry of Economy and Competitiveness] (MINECO), European Commission (EC) | ||||||
| Grant number: | FIS2012-38266-C02-01, FIS2011-2516 (MINECO), FET Proactive Project MULTIPLEX Multilevel Complex Networks and Systems contract no. 317532. (EC) |
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