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 …

Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …

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 …

We review chimera patterns, which consist of coexisting spatial domains of coherent
(synchronized) and incoherent (desynchronized) dynamics in networks of identical …

Oscillation quenching constitutes a fundamental emergent phenomenon in systems of
coupled nonlinear oscillators. Its importance for various natural and man-made systems …

Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …

Rhythmic behavior represents one of the most striking and ubiquitous manifestations of
functional evolution for a wide class of natural and man-made systems. The emergence of …

Investigating the dynamics of a network of oscillatory systems is a timely and urgent topic.
Phase synchronization has proven paradigmatic to study emergent collective behavior …

Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …

Complex networks have, in recent years, brought many innovative impacts to large-scale
systems. However, great challenges also come forth due to distinct complex situations and …