Synchronization in a network of connected elements is essential to the proper functioning of
both natural and engineered systems and is thus of increasing interest across disciplines. In …

Adaptive networks change their connectivity with time, depending on their dynamical state.
While synchronization in structurally static networks has been studied extensively, this …

When describing complex interconnected systems, one often has to go beyond the standard
network description to account for generalized interactions. Here, we establish a unified …

Cluster synchronization in networks of coupled oscillators is the subject of broad interest
from the scientific community, with applications ranging from neural to social and animal …

In the presented work, two chaotic systems are fitted as generators into robots based on two
wheels to observe its movement. Considering that obstacle avoidance and path following …

The stability analysis of synchronization patterns on generalized network structures is of
immense importance nowadays. In this article, we scrutinize the stability of intralayer …

Full synchronization of dynamical elements coupled via hypergraphs can be analyzed with
the hypergraph projection onto dyadic matrices, but this is not sufficient for analyzing cluster …

We study cluster synchronization of networks and propose a canonical transformation for
simultaneous block diagonalization of matrices that we use to analyze the stability of the …

We study the synchronization properties of a generic networked dynamical system, and
show that, under a suitable approximation, the transition to synchronization can be predicted …

The dynamics of the brain results from the complex interplay of several neural populations
and is affected by both the individual dynamics of these areas and their connection structure …