Onset of synchronization of Kuramoto oscillators in scale-free networks

Peron, Thomas ; Messias F De Resende, Bruno ; Mata, Angelica S. ; Rodrigues, Francisco A. ; Moreno, Yamir (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.1103/PhysRevE.100.042302

Año: 2019

Publicado en: PHYSICAL REVIEW E 100, 4 (2019), 042302 1-8
ISSN: 2470-0045

Factor impacto JCR: 2.296 (2019)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 9 / 55 = 0.164 (2019) - Q1 - T1
Categ. JCR: PHYSICS, FLUIDS & PLASMAS rank: 13 / 34 = 0.382 (2019) - Q2 - T2

Factor impacto SCIMAGO: 0.958 - Condensed Matter Physics (Q1) - Statistical and Nonlinear Physics (Q1) - Statistics and Probability (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E36-17R
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2017-87519-P

Tipo y forma: Artículo (Versión definitiva)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)