Network science has evolved into an indispensable platform for studying complex systems.
But recent research has identified limits of classical networks, where links connect pairs of …

The complexity of many biological, social and technological systems stems from the richness
of the interactions among their units. Over the past decades, a variety of complex systems …

Chimeras are this year coming of age since they were first observed by Kuramoto and
Battogtokh in 2002 in a one-dimensional network of complex Ginzburg–Landau equations …

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

In the last decade, there has been a growing body of literature addressing the utilization of
complex network methods for the characterization of dynamical systems based on time …

Neuronal networks, similar to many other complex systems, self-organize into fascinating
emergent states that are not only visually compelling, but also vital for the proper functioning …

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 …

Higher-order interactions might play a significant role in the collective dynamics of the brain.
With this motivation, we here consider a simplicial complex of neurons, in particular …

In the past years, network theory has successfully characterized the interaction among the
constituents of a variety of complex systems, ranging from biological to technological, and …

Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …