86343 20200716101535.0 doi 10.1103/PhysRevE.100.042302 sideral 114918 ART-2019-114918 eng Peron, Thomas Onset of synchronization of Kuramoto oscillators in scale-free networks 2019 Access copy available to the general public Unrestricted Despite the great attention devoted to the study of phase oscillators on complex networks in the last two decades, it remains unclear whether scale-free networks exhibit a nonzero critical coupling strength for the onset of synchronization in the thermodynamic limit. Here, we systematically compare predictions from the heterogeneous degree mean-field (HMF) and the quenched mean-field (QMF) approaches to extensive numerical simulations on large networks. We provide compelling evidence that the critical coupling vanishes as the number of oscillators increases for scale-free networks characterized by a power-law degree distribution with an exponent 2<¿=3, in line with what has been observed for other dynamical processes in such networks. For ¿>3, we show that the critical coupling remains finite, in agreement with HMF calculations and highlight phenomenological differences between critical properties of phase oscillators and epidemic models on scale-free networks. Finally, we also discuss at length a key choice when studying synchronization phenomena in complex networks, namely, how to normalize the coupling between oscillators. info:eu-repo/grantAgreement/ES/DGA/E36-17R info:eu-repo/grantAgreement/ES/MINECO/FIS2017-87519-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.296 2019 PHYSICS, MATHEMATICAL 9 / 55 = 0.164 2019 Q1 T1 PHYSICS, FLUIDS & PLASMAS 13 / 34 = 0.382 2019 Q2 T2 0.958 2019 Condensed Matter Physics 2019 Q1 Statistical and Nonlinear Physics 2019 Q1 Statistics and Probability 2019 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Messias F De Resende, Bruno Mata, Angelica S. Rodrigues, Francisco A. (orcid)0000-0002-0895-1893 Moreno, Yamir Universidad de Zaragoza 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 100, 4 (2019), 042302 1-8 Phys. rev., E PHYSICAL REVIEW E 2470-0045 349887 http://zaguan.unizar.es/record/86343/files/texto_completo.pdf Versión publicada 18162 http://zaguan.unizar.es/record/86343/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:86343 articulos driver 2020-07-16-09:36:40 ARTICLE