The Kuramoto model in complex networks
Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …
several complex systems, ranging from social and physical to biological and technological …
Explosive transitions in complex networks' structure and dynamics: Percolation and synchronization
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 …
studied since already long ago. A classic result is that, in the vast majority of cases, these …
Explosive synchronization in adaptive and multilayer networks
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 …
rooted in the setting of specific microscopic correlation features between the natural …
Explosive phenomena in complex networks
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 …
function and failure of many complex socio-technical networks. Thus, there is great interest …
Hyperedge overlap drives explosive transitions in systems with higher-order interactions
Recent studies have shown that novel collective behaviors emerge in complex systems due
to the presence of higher-order interactions. However, how the collective behavior of a …
to the presence of higher-order interactions. However, how the collective behavior of a …
Discontinuous transitions and rhythmic states in the D-dimensional Kuramoto model induced by a positive feedback with the global order parameter
From fireflies to cardiac cells, synchronization governs important aspects of nature, and the
Kuramoto model is the staple for research in this area. We show that generalizing the model …
Kuramoto model is the staple for research in this area. We show that generalizing the model …
Explosive synchronization dependence on initial conditions: The minimal Kuramoto model
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 …
world networks, ranging from neurons to power-grids. These transitions can be explosive or …
Explosive synchronization in a general complex network
Explosive synchronization (ES) has recently attracted much attention, where its two
necessary conditions are found to be a scale-free network topology and a positive …
necessary conditions are found to be a scale-free network topology and a positive …
Cluster explosive synchronization in complex networks
The emergence of explosive synchronization has been reported as an abrupt transition in
complex networks of first-order Kuramoto oscillators. In this Letter we demonstrate that the …
complex networks of first-order Kuramoto oscillators. In this Letter we demonstrate that the …
Restoration of rhythmicity in diffusively coupled dynamical networks
Oscillatory behaviour is essential for proper functioning of various physical and biological
processes. However, diffusive coupling is capable of suppressing intrinsic oscillations due to …
processes. However, diffusive coupling is capable of suppressing intrinsic oscillations due to …