Synchronization of frustrated Kuramoto oscillators on modular networks
| Full text | |
| Author(s): |
Peron, Thomas
;
de Resende, Bruno Messias F.
;
Mata, Angelica S.
;
Rodrigues, Francisco A.
;
Moreno, Yamir
Total Authors: 5
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW E; v. 100, n. 4, p. 8-pg., 2019-10-08. |
| Abstract | |
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 < gamma <= 3, in line with what has been observed for other dynamical processes in such networks. For gamma > 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. (AU) | |
| FAPESP's process: | 18/15589-3 - Dynamical Processes on Ecological Networks |
| Grantee: | Thomas Kaue Dal Maso Peron |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 16/25682-5 - Information spreading in complex networks |
| Grantee: | Francisco Aparecido Rodrigues |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |
| FAPESP's process: | 16/23827-6 - Analysis of epidemic and synchronization processes in complex networks |
| Grantee: | Thomas Kaue Dal Maso Peron |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |