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 …

Abrupt desynchronization and extensive multistability in globally coupled oscillator simplexes

PS Skardal, A Arenas - Physical review letters, 2019 - APS
Collective behavior in large ensembles of dynamical units with nonpairwise interactions may
play an important role in several systems ranging from brain function to social networks …

Explosive synchronization in adaptive and multilayer networks

X Zhang, S Boccaletti, S Guan, Z Liu - Physical review letters, 2015 - APS
At this time, explosive synchronization (ES) of networked oscillators is thought of as being
rooted in the setting of specific microscopic correlation features between the natural …

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 …

Higher-order interactions can better optimize network synchronization

PS Skardal, L Arola-Fernández, D Taylor… - Physical Review …, 2021 - APS
Collective behavior plays a key role in the function of a wide range of physical, biological,
and neurological systems where empirical evidence has recently uncovered the prevalence …

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 …

Experimental evidence of explosive synchronization in mercury beating-heart oscillators

P Kumar, DK Verma, P Parmananda, S Boccaletti - Physical Review E, 2015 - APS
We report experimental evidence of explosive synchronization in coupled chemo-
mechanical systems, namely in mercury beating-heart (MBH) oscillators. Connecting four …

Emergence of explosive synchronization bombs in networks of oscillators

L Arola-Fernández, S Faci-Lázaro, PS Skardal… - Communications …, 2022 - nature.com
Research on network percolation and synchronization has deepened our understanding of
abrupt changes in the macroscopic properties of complex engineered and natural systems …

Cyclops states in repulsive Kuramoto networks: The role of higher-order coupling

VO Munyayev, MI Bolotov, LA Smirnov, GV Osipov… - Physical Review Letters, 2023 - APS
Repulsive oscillator networks can exhibit multiple cooperative rhythms, including chimera
and cluster splay states. Yet, understanding which rhythm prevails remains challenging …