The Kuramoto model in complex networks

FA Rodrigues, TKDM Peron, P Ji, J Kurths - Physics Reports, 2016 - Elsevier
Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …

Explosive transitions in complex networks' structure and dynamics: Percolation and synchronization

S Boccaletti, JA Almendral, S Guan, I Leyva, Z Liu… - Physics Reports, 2016 - Elsevier
Percolation and synchronization are two phase transitions that have been extensively
studied since already long ago. A classic result is that, in the vast majority of cases, these …

Explosive phenomena in complex networks

RM D'Souza, J Gómez-Gardenes, J Nagler… - Advances in …, 2019 - Taylor & Francis
The emergence of large-scale connectivity and synchronization are crucial to the structure,
function and failure of many complex socio-technical networks. Thus, there is great interest …

Double explosive transition in the synchronization of multilayer networks

T Wu, S Huo, K Alfaro-Bittner, S Boccaletti, Z Liu - Physical Review Research, 2022 - APS
We give evidence that consecutive explosive transitions may occur in two-layered networks,
when a dynamical layer made of an ensemble of networking phase oscillators interacts with …

Explosive synchronization in phase-frustrated multiplex networks

P Khanra, P Kundu, C Hens, P Pal - Physical Review E, 2018 - APS
We investigate the phenomenon of first-order transition [explosive synchronization (ES)] in
an adaptively coupled phase-frustrated bilayer multiplex network. We consider Sakaguchi …

Order parameter dynamics in complex systems: From models to data

Z Zheng, C Xu, J Fan, M Liu, X Chen - Chaos: An Interdisciplinary …, 2024 - pubs.aip.org
Collective ordering behaviors are typical macroscopic manifestations embedded in complex
systems and can be ubiquitously observed across various physical backgrounds. Elements …

Explosive transitions in coupled Lorenz oscillators

YA Muthanna, HH Jafri - Physical Review E, 2024 - APS
We study the transition to synchronization in an ensemble of chaotic oscillators that are
interacting on a star network. These oscillators possess an invariant symmetry and we study …

Transition to synchrony in degree-frequency correlated Sakaguchi-Kuramoto model

P Kundu, P Khanra, C Hens, P Pal - Physical Review E, 2017 - APS
We investigate transition to synchrony in degree-frequency correlated Sakaguchi-Kuramoto
(SK) model on complex networks both analytically and numerically. We analytically derive …

Traffic-driven explosive synchronization with adaptive local routing in complex networks

J Chen, J Cao, W Huang - Chaos, Solitons & Fractals, 2023 - Elsevier
Despite extensive researches on explosive synchronization, the interplay between it and
traffic dynamics has not received enough attentions. In this paper, we develop a traffic-driven …

Synchronization of phase oscillators with frequency-weighted coupling

C Xu, Y Sun, J Gao, T Qiu, Z Zheng, S Guan - Scientific reports, 2016 - nature.com
Recently, the first-order synchronization transition has been studied in systems of coupled
phase oscillators. In this paper, we propose a framework to investigate the synchronization …