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 …

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 …

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 …

Hysteresis, the discrepancy in forward and reverse pathways of state transitions, is observed
during changing levels of consciousness. Identifying the underlying mechanism of …

We report on a novel collective state, occurring in globally coupled nonidentical oscillators in
the proximity of the point where the transition from the system's incoherent to coherent phase …

Integrated information theory (IIT) describes consciousness as information integrated across
highly differentiated but irreducible constituent parts in a system. However, in a complex …

We investigate the phenomenon of first-order transition [explosive synchronization (ES)] in
an adaptively coupled phase-frustrated bilayer multiplex network. We consider Sakaguchi …

Non-Markovian spontaneous recovery processes with a time delay (memory) are ubiquitous
in the real world. How does the non-Markovian characteristic affect failure propagation in …

We consider the paradigmatic Kuramoto oscillators coupled via an adaptive mean-field
variable that breaks the rotational symmetry. The evolution equation for the mean-field …