2026-06-29T23:32:00Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/963162025-03-15T01:04:00Zcom_20.500.14352_14col_20.500.14352_15

Effective centrality and explosive synchronization in complex networks Navas, Adrián Villacorta Atienza, José Antonio Leyva, Irene Almendral, Juán Sendiña Nadal, Irene Boccaletti, Stephano Synchronization of networked oscillators is known to depend fundamentally on the interplay between the dynamics of the graph’s units and the microscopic arrangement of the network’s structure. We here propose an effective network whose topological properties reflect the interplay between the topology and dynamics of the original network. On that basis, we are able to introduce the effective centrality, a measure that quantifies the role and importance of each network’s node in the synchronization process. In particular, in the context of explosive synchronization, we use such a measure to assess the propensity of a graph to sustain an irreversible transition to synchronization. We furthermore discuss a strategy to induce the explosive behavior in a generic network, by acting only upon a fraction of its nodes. 2024-01-30T08:42:54Z 2024-01-30T08:42:54Z 2015 journal article Navas, A., et al. «Effective Centrality and Explosive Synchronization in Complex Networks». Physical Review E, vol. 92, n.o 6, diciembre de 2015, p. 062820. https://doi.org/10.1103/PhysRevE.92.062820. 2470-0045 10.1103/PhysRevE.92.062820 https://hdl.handle.net/20.500.14352/96316 2470-0053 https://doi.org/10.1103/PhysRevE.92.062820 eng Projects FIS2012-38949-C03-01 and FIS2013-41057-P Project INCE2014-011 open access American Physical Society