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

Adaptivity is a dynamical feature that is omnipresent in nature, socio-economics, and
technology. For example, adaptive couplings appear in various real-world systems, such as …

This concise and up-to-date textbook provides an accessible introduction to the core
concepts of nonlinear dynamics as well as its existing and potential applications. The book …

The prediction of dynamical stability of power grids becomes more important and
challenging with increasing shares of renewable energy sources due to their decentralized …

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 …

We consider several topologies of power grids and analyze how the addition of transmission
lines affects their dynamics. The main example we are dealing with is a power grid that has …

NetworkDynamics. jl is an easy-to-use and computationally efficient package for simulating
heterogeneous dynamical systems on complex networks, written in Julia, a high-level, high …

Multistability is a common phenomenon which naturally occurs in complex networks. If
coexisting attractors are numerous and their basins of attraction are complexly interwoven …

One of the priority tasks in studying power grids is to find the conditions of their stable
operation. The fundamental requirement is synchronizing all the elements (generators and …

Effective frequency control in power grids has become increasingly important with the
increasing demand for renewable energy sources. Here, we propose a novel strategy for …