Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …

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 …

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 …

To date, explosive synchronization (ES) in a network is shown to be originated from
considering either degree-frequency correlation, frequency-coupling strength correlation …

Collective ordering behaviors are typical macroscopic manifestations embedded in complex
systems and can be ubiquitously observed across various physical backgrounds. Elements …

It is known that explosive synchronization (ES) in an isolated network of Kuramoto oscillators
with inertia is significantly enhanced by the presence of time delay. Here we show that time …

The combustion of candles exhibits a variety of dynamical behaviors. Binding several
candles together will result in flickering of candle flames, which is generally described as a …

In this paper we analyze the second-order Kuramoto model in the presence of a positive
correlation between the heterogeneity of the connections and the natural frequencies in …

Explosive synchronization (ES) of coupled oscillators on networks is shown to be originated
from the existence of correlation between natural frequencies of oscillators and degrees of …

We study two intertwined globally coupled networks of noisy Kuramoto phase oscillators that
have the same natural frequency but differ in their perception of the mean field and their …