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 …

Effects of degree correlations on the explosive synchronization of scale-free networks

I Sendiña-Nadal, I Leyva, A Navas… - Physical Review E, 2015 - APS
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' …

Effective centrality and explosive synchronization in complex networks

A Navas, JA Villacorta-Atienza, I Leyva, JA Almendral… - Physical Review E, 2015 - APS
Synchronization of networked oscillators is known to depend fundamentally on the interplay
between the dynamics of the graph's units and the microscopic arrangement of the network's …

Dynamics of Kuramoto oscillators in complex networks

TKDM Peron - 2017 - teses.usp.br
Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from biological and physical to social and technological …