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 …

Enhanced explosive synchronization in heterogeneous oscillator populations with higher-order interactions

C Xu, Y Zhai, Y Wu, Z Zheng, S Guan - Chaos, Solitons & Fractals, 2023 - Elsevier
Explosive synchronization underlying many realistic dynamic processes has attracted great
attention in the various fields. Here, we generalize the Kuramoto model with heterogeneous …

Dynamical origin of the explosive synchronization with partial adaptive coupling

C Xu, H Yu, S Guan - Chaos, Solitons & Fractals, 2023 - Elsevier
Explosive synchronization underlying many abrupt dynamical phenomena has attracted a
great deal of attention in various fields. Here, we untangle the dynamical origin of the …

Emergent explosive synchronization in adaptive complex networks

V Avalos-Gaytán, JA Almendral, I Leyva, F Battiston… - Physical Review E, 2018 - APS
Adaptation plays a fundamental role in shaping the structure of a complex network and
improving its functional fitting. Even when increasing the level of synchronization in a …

Functional and topological conditions for explosive synchronization develop in human brain networks with the onset of anesthetic-induced unconsciousness

M Kim, GA Mashour, SB Moraes, G Vanini… - Frontiers in …, 2016 - frontiersin.org
Sleep, anesthesia, and coma share a number of neural features but the recovery profiles are
radically different. To understand the mechanisms of reversibility of unconsciousness at the …

Explosive synchronization in phase oscillator populations with attractive and repulsive adaptive interactions

X Wang, Z Zheng, C Xu - Chaos, Solitons & Fractals, 2023 - Elsevier
The attractive and repulsive adaptive coupling schemes among dynamical agents are
ubiquitous in systems ranging from physics, biology to neuroscience, which have attracted …

Explosive synchronization caused by optimizing synchrony of coupled phase oscillators on complex networks

W Chen, S Wang, Y Lan, W Liu, J Xiao - The European Physical Journal B, 2021 - Springer
We optimize synchrony in networks of heterogeneous phase oscillators. By analyzing the
eigenvalues of the Jacobian matrix at full synchronization, two structure indicators related to …

Dynamical complexity as a proxy for the network degree distribution

A Tlaie, I Leyva, R Sevilla-Escoboza, VP Vera-Avila… - Physical Review E, 2019 - APS
We explore the relation between the topological relevance of a node in a complex network
and the individual dynamics it exhibits. When the system is weakly coupled, the effect of the …