Mean-field nature of synchronization stability in networks with multiple interaction layers

Charo del Genio, Sergio Faci-Lázaro, Jesús Gómez-Gardeñes, Stefano Boccaletti

Research output: Contribution to journalArticlepeer-review

3 Downloads (Pure)

Abstract

The interactions between the components of many real-world systems are best modelled by networks with multiple layers. Different theories have been proposed to explain how multilayered connections affect the linear stability of synchronization in dynamical systems. However, the resulting equations are computationally expensive, and therefore difficult, if not impossible, to solve for large systems. To bridge this gap, we develop a mean-field theory of synchronization for networks with multiple interaction layers. By assuming quasi-identical layers, we obtain accurate assessments of synchronization stability that are comparable with the exact results. In fact, the accuracy of our theory remains high even for networks with very dissimilar layers, thus posing a general question about the mean-field nature of synchronization stability in multilayer networks. Moreover, the computational complexity of our approach is only quadratic in the number of nodes, thereby allowing the study of systems whose investigation was thus far precluded.
Original languageEnglish
Article number121
Number of pages6
JournalCommunications Physics
Volume5
Early online date18 May 2022
DOIs
Publication statusE-pub ahead of print - 18 May 2022

Bibliographical note

This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/ licenses/by/4.0/.

Keywords

  • Applied mathematics
  • Complex networks
  • Nonlinear phenomena

Fingerprint

Dive into the research topics of 'Mean-field nature of synchronization stability in networks with multiple interaction layers'. Together they form a unique fingerprint.

Cite this