All beauty, richness and harmony in the emergent dynamics of a complex system largely
depend on the specific way in which its elementary components interact. The last twenty-five …

The complexity of many biological, social and technological systems stems from the richness
of the interactions among their units. Over the past decades, a variety of complex systems …

A modern introduction to synchronization phenomena, this text presents recent discoveries
and the current state of research in the field, from low-dimensional systems to complex …

Various systems in physics, biology, social sciences and engineering have been
successfully modeled as networks of coupled dynamical systems, where the links describe …

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 …

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 …

We give evidence that a population of pure contrarian globally coupled D-dimensional
Kuramoto oscillators reaches a collective synchronous state when the interplay between the …

Coupled oscillators have been used to study synchronization in a wide range of social,
biological, and physical systems, including pedestrian-induced bridge resonances …

We present an analytical description for the collective dynamics of oscillator ensembles with
higher-order coupling encoded by simplicial structure, which serves as an illustrative and …

Explosive synchronization underlying many realistic dynamic processes has attracted great
attention in the various fields. Here, we generalize the Kuramoto model with heterogeneous …