Effects of degree correlations on the explosive synchronization of scale-free networks (Articolo in rivista)

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Label
  • Effects of degree correlations on the explosive synchronization of scale-free networks (Articolo in rivista) (literal)
Anno
  • 2015-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevE.91.032811 (literal)
Alternative label
  • I. Sendiña-Nadal (1,2); I. Leyva (1,2); A. Navas (2); J.A. Villacorta-Atienza (2); J.A. Almendral (1,2), Z. Wang (3,4); S. Boccaletti (5,6) (2015)
    Effects of degree correlations on the explosive synchronization of scale-free networks
    in Physical review. E, Statistical, nonlinear, and soft matter physics (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • I. Sendiña-Nadal (1,2); I. Leyva (1,2); A. Navas (2); J.A. Villacorta-Atienza (2); J.A. Almendral (1,2), Z. Wang (3,4); S. Boccaletti (5,6) (literal)
Pagina inizio
  • 032811 (literal)
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  • Published 26 March 2015. (literal)
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  • http://journals.aps.org/pre/abstract/10.1103/PhysRevE.91.032811 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 91 (literal)
Rivista
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  • (1) Complex Systems Group, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain (2) Center for Biomedical Technology, Universidad Politécnica de Madrid, 28223 Pozuelo de Alarcón, Madrid, Spain (3) Department of Physics, Hong Kong Baptist University, Kowloon Tong, Hong Kong SAR, China (4) Center for Nonlinear Studies, Beijing-Hong Kong-Singapore Joint Center for Nonlinear and Complex Systems (Hong Kong) and Institute of Computational and Theoretical Studies, Hong Kong Baptist University, Kowloon Tong, Hong Kong SAR, China (5) CNR-Institute of Complex Systems, Via Madonna del Piano, 10, 50019 Sesto Fiorentino, Florence, Italy (6) Italian Embassy in Israel, 25 Hamered Street, 68125 Tel Aviv, Israel (literal)
Titolo
  • Effects of degree correlations on the explosive synchronization of scale-free networks (literal)
Abstract
  • We study the organization of finite-size, large ensembles of phase oscillators networking via scale-free topologies in the presence of a positive correlation between the oscillators' natural frequencies and the network's degrees. Under those circumstances, abrupt transitions to synchronization are known to occur in growing scale-free networks, while the transition has a completely different nature for static random configurations preserving the same structure-dynamics correlation. We show that the further presence of degree-degree correlations in the network structure has important consequences on the nature of the phase transition characterizing the passage from the phase-incoherent to the phase-coherent network state. While high levels of positive and negative mixing consistently induce a second-order phase transition, moderate values of assortative mixing, such as those ubiquitously characterizing social networks in the real world, greatly enhance the irreversible nature of explosive synchronization in scale-free networks. The latter effect corresponds to a maximization of the area and of the width of the hysteretic loop that differentiates the forward and backward transitions to synchronization. (literal)
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