118180 20250619084224.0 doi 10.1038/s42005-022-00897-0 sideral 129238 ART-2022-129238 eng Del Genio, Charo I. Mean-field nature of synchronization stability in networks with multiple interaction layers 2022 Access copy available to the general public Unrestricted 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. Multilayer networks can achieve synchronization, both for homogeneous and heterogeneous layers, whose dynamics is described by a system of equations often computationally complex and expensive. Here, the authors propose a mean-field approach for estimating the stability of the synchronized state of multilayer networks and show this applies to both homogeneous and heterogeneous layers, lowering computational complexity. info:eu-repo/grantAgreement/ES/DGA/E36-20R info:eu-repo/grantAgreement/ES/MINECO/FIS2017-87519-P info:eu-repo/grantAgreement/ES/MINECO/FIS2017-90782-REDT info:eu-repo/grantAgreement/ES/MINECO/PID2020-113582GB-I00 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 5.5 2022 PHYSICS, MULTIDISCIPLINARY 17 / 85 = 0.2 2022 Q1 T1 1.844 2022 Physics and Astronomy (miscellaneous) 2022 Q1 8.6 2022 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Faci Lázaro, Sergio Universidad de Zaragoza Gómez Gardeñes, Jesús Universidad de Zaragoza (orcid)0000-0001-5204-1937 Boccaletti, Stefano 2003 395 Universidad de Zaragoza Dpto. Física Materia Condensa. Área Física Materia Condensada 5, 121 (2022), 6 Communications Physics 2399-3650 665062 http://zaguan.unizar.es/record/118180/files/texto_completo.pdf Versión publicada 1262305 http://zaguan.unizar.es/record/118180/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:118180 articulos driver 2025-06-19-08:41:28 ARTICLE