Over the past two decades, complex network theory provided the ideal framework for
investigating the intimate relationships between the topological properties characterizing the …

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 …

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 …

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 …

Mammalian circadian clocks have a hierarchical organization, governed by the
suprachiasmatic nucleus (SCN) in the hypothalamus. The brain itself contains multiple loci …

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 …

Phase transitions in equilibrium and nonequilibrium systems play a major role in the natural
sciences. In dynamical networks, phase transitions organize qualitative changes in the …

The human brain is the most complicated and fascinated system and executes various
important brain functions, but its underlying mechanism is a long-standing problem. In recent …

Spontaneous explosive emergent behavior takes place in heterogeneous networks when
the frequencies of the nodes are positively correlated to the node degree. A central feature …