It is a fundamental challenge to understand how the function of a network is related to its
structural organization. Adaptive dynamical networks represent a broad class of systems that …

Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …

Reliable functioning of infrastructure networks is essential for our modern society.
Cascading failures are the cause of most large-scale network outages. Although cascading …

The stability of synchronised networked systems is a multi-faceted challenge for many
natural and technological fields, from cardiac and neuronal tissue pacemakers to power …

The ongoing transition to renewable energy supply comes with a restructuring of power
grids, changing their effective interaction topologies, more and more strongly decentralizing …

Power grid networks, as well as neuronal networks with synaptic plasticity, describe real-
world systems of tremendous importance for our daily life. The investigation of these …

The notion of a part of phase space containing desired (or allowed) states of a dynamical
system is important in a wide range of complex systems research. It has been called the safe …

Coupled oscillator networks show complex interrelations between topological characteristics
of the network and the nonlinear stability of single nodes with respect to large but realistic …

Shifting our electricity generation from fossil fuel to renewable energy sources introduces
large fluctuations to the power system. Here, we demonstrate how increased fluctuations …

The energy transition introduces new classes of dynamical actors into the power grid. There
is, in particular, a growing need for so-called grid-forming inverters (GFIs) that can contribute …