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 …

Explosive synchronization dependence on initial conditions: The minimal Kuramoto model

A Bayani, S Jafari, H Azarnoush, F Nazarimehr… - Chaos, Solitons & …, 2023 - Elsevier
Transitions from incoherent to coherent dynamical states can be observed in various real-
world networks, ranging from neurons to power-grids. These transitions can be explosive or …

Functional brain network mechanism of hypersensitivity in chronic pain

UC Lee, M Kim, KE Lee, CM Kaplan, DJ Clauw… - Scientific reports, 2018 - nature.com
Fibromyalgia (FM) is a chronic widespread pain condition characterized by augmented multi-
modal sensory sensitivity. Although the mechanisms underlying this sensitivity are thought to …

Disorder induces explosive synchronization

PS Skardal, A Arenas - Physical Review E, 2014 - APS
We study explosive synchronization, a phenomenon characterized by first-order phase
transitions between incoherent and synchronized states in networks of coupled oscillators …

Emergent rhythms in coupled nonlinear oscillators due to dynamic interactions

S Dixit, S Nag Chowdhury, A Prasad… - … Journal of Nonlinear …, 2021 - pubs.aip.org
The role of a new form of dynamic interaction is explored in a network of generic identical
oscillators. The proposed design of dynamic coupling facilitates the onset of a plethora of …

Synchronization dynamics of phase oscillator populations with generalized heterogeneous coupling

Y Wu, Z Zheng, L Tang, C Xu - Chaos, Solitons & Fractals, 2022 - Elsevier
The Kuramoto model, serving as a paradigmatic tool, has been used to shed light on the
collective behaviors in large ensembles of coupled dynamic agents. It is well known that the …

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 …

Mechanism for explosive synchronization of neural networks

BRR Boaretto, RC Budzinski, TL Prado, SR Lopes - Physical Review E, 2019 - APS
Here we investigate the mechanism for explosive synchronization (ES) of a complex neural
network composed of nonidentical neurons and coupled by Newman-Watts small-world …