The transition to synchronization of networked systems

dc.contributor.authorBayani, Atiyeh
dc.contributor.authorNazarimehr, Fahimeh
dc.contributor.authorJafari, Sajad
dc.contributor.authorKovalenko, Kirill
dc.contributor.authorContreras-Aso, Gonzalo
dc.contributor.authorAlfaro-Bittner, Karin
dc.contributor.authorSánchez-García, Rubén J
dc.contributor.authorBoccaletti, Stefano
dc.date.accessioned2024-09-04T07:33:13Z
dc.date.available2024-09-04T07:33:13Z
dc.date.issued2024-06-10
dc.description.abstractWe study the synchronization properties of a generic networked dynamical system, and show that, under a suitable approximation, the transition to synchronization can be predicted with the only help of eigenvalues and eigenvectors of the graph Laplacian matrix. The transition comes out to be made of a well defined sequence of events, each of which corresponds to a specific clustered state. The network’s nodes involved in each of the clusters can be identified, and the value of the coupling strength at which the events are taking place can be approximately ascertained. Finally, we present largescale simulations which show the accuracy of the approximation made, and of our predictions in describing the synchronization transition of both synthetic and real-world large size networks, and we even report that the observed sequence of clusters is preserved in heterogeneous networks made of slightly non-identical systems.es
dc.identifier.citationBayani, A., Nazarimehr, F., Jafari, S. et al. The transition to synchronization of networked systems. Nat Commun 15, 4955 (2024). https://doi.org/10.1038/s41467-024-48203-6es
dc.identifier.doi10.1038/s41467-024-48203-6es
dc.identifier.issnISSN 2041-1723 (Online)
dc.identifier.urihttps://hdl.handle.net/10115/39351
dc.language.isoenges
dc.publisherSpringeres
dc.rightsAttribution 4.0 Internacional*
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.titleThe transition to synchronization of networked systemses
dc.typeinfo:eu-repo/semantics/articlees

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