112 citations · 391 across the 7 of their papers we have counts for
7 papers
Taming Instabilities in Power Grid Networks by Decentralized Control
Benjamin Schäfer, Carsten Grabow, Sabine Auer +3
Renewables will soon dominate energy production in our electric power system. And yet, how to integrate renewable energy into the grid and the market is still a subject of major de…
Collective Relaxation Dynamics of Small-World Networks
Carsten Grabow, Stefan Grosskinsky, Jürgen Kurths +1
Complex networks exhibit a wide range of collective dynamic phenomena, including synchronization, diffusion, relaxation, and coordination processes. Their asymptotic dynamics is ge…
Survivability of Deterministic Dynamical Systems
Frank Hellmann, Paul Schultz, Carsten Grabow +2
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 sa…
Small-world spectra in mean field theory
Carsten Grabow, Stefan Grosskinsky, Marc Timme
Collective dynamics on small-world networks emerge in a broad range of systems with their spectra characterizing fundamental asymptotic features. Here we derive analytic mean field…
Speed of complex network synchronization
Carsten Grabow, Stefan Grosskinsky, Marc Timme
Synchrony is one of the most common dynamical states emerging on networks. The speed of convergence towards synchrony provides a fundamental collective time scale for synchronizing…
Do Small Worlds Synchronize Fastest?
Carsten Grabow, Steven Hill, Stefan Grosskinsky +1
Small world networks interpolate between fully regular and fully random topologies and simultaneously exhibit large local clustering as well as short average path length. Small wor…
Fermionic Expressions for the Characters of c(p,1) Logarithmic Conformal Field Theories
Michael Flohr, Carsten Grabow, Michael Koehn
We present fermionic quasi-particle sum representations consisting of a single fundamental fermionic form for all characters of the logarithmic conformal field theory models with c…