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 …

Cluster synchronization is a phenomenon in which a network self-organizes into a pattern of
synchronized sets. It has been shown that diverse patterns of stable cluster synchronization …

Networks of nonlinear dynamical systems may exhibit a collective state, known as cluster
synchronization, characterized by the formation of groups, where the units within each …

Synchronization in networked systems of diffusively coupled oscillators is a ubiquitous, well-
studied phenomenon, and many techniques have been proposed to control all the network …

Symmetries are an essential feature of complex networks as they regulate how the graph
collective dynamics organizes into clustered states. We here show how to control network …

Neurological disorders such as epileptic seizures are believed to be caused by neuronal
synchrony. However, to ascertain the causal role of neuronal synchronization in such …

In exploring oscillator synchronization, a general observation is that as the oscillators
become nonidentical, eg, introducing parameter mismatch among the oscillators, the …

Transients are fundamental to ecological systems with significant implications to
management, conservation and biological control. We uncover a type of transient …

Brain activities are featured by spatially distributed neural clusters of coherent firings and a
spontaneous slow switching of the clusters between the coherent and incoherent states …

By a small-size complex network of coupled chaotic Hindmarsh-Rose circuits, we study
experimentally the stability of network synchronization to the removal of shortcut links. It is …