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 …

Synchronization in complex networks

A Arenas, A Díaz-Guilera, J Kurths, Y Moreno, C Zhou - Physics reports, 2008 - Elsevier
Synchronization processes in populations of locally interacting elements are the focus of
intense research in physical, biological, chemical, technological and social systems. The …

Critical phenomena in complex networks

SN Dorogovtsev, AV Goltsev, JFF Mendes - Reviews of Modern Physics, 2008 - APS
The combination of the compactness of networks, featuring small diameters, and their
complex architectures results in a variety of critical effects dramatically different from those in …

Synchronization via pinning control on general complex networks

W Yu, G Chen, J Lu, J Kurths - SIAM Journal on Control and Optimization, 2013 - SIAM
This paper studies synchronization via pinning control on general complex dynamical
networks, such as strongly connected networks, networks with a directed spanning tree …

Measuring mixing patterns in complex networks by Spearman rank correlation coefficient

WY Zhang, ZW Wei, BH Wang, XP Han - Physica A: Statistical mechanics …, 2016 - Elsevier
In this paper, we utilize Spearman rank correlation coefficient to measure mixing patterns in
complex networks. Compared with the widely used Pearson coefficient, Spearman …

Synchronization on complex networks of networks

R Lu, W Yu, J Lü, A Xue - IEEE transactions on neural networks …, 2014 - ieeexplore.ieee.org
In this paper, pinning synchronization on complex networks of networks is investigated,
where there are many subnetworks with the interactions among them. The subnetworks and …

[BOG][B] Network science

M Pósfai, AL Barabási - 2016 - Citeseer
Bibliography Tomás Saraceno creates art inspired by spider webs and neural networks.
Trained as an architect, he deploys insights from engineering, physics, chemistry …

The time-evolving epileptic brain network: concepts, definitions, accomplishments, perspectives

T Bröhl, T Rings, J Pukropski, R von Wrede… - Frontiers in Network …, 2024 - frontiersin.org
Epilepsy is now considered a network disease that affects the brain across multiple levels of
spatial and temporal scales. The paradigm shift from an epileptic focus—a discrete cortical …

Pinning synchronization of delayed neural networks

J Zhou, X Wu, W Yu, M Small, J Lu - Chaos: An Interdisciplinary Journal …, 2008 - pubs.aip.org
This paper investigates adaptive pinning synchronization of a general weighted neural
network with coupling delay. Unlike recent works on pinning synchronization which …