115 citations · 398 across the 14 of their papers we have counts for
4 papers · 1 filter
Bounding the first exit from the basin: Independence Times and Finite-Time Basin Stability
Paul Schultz, Frank Hellmann, Kevin N. Webster +1
We study the stability of deterministic systems given sequences of large, jump-like perturbations. Our main result is to dervie a lower bound for the probability of the system to r…
Potentials and Limits to Basin Stability Estimation
Paul Schultz, Peter J. Menck, Jobst Heitzig +1
Stability assessment methods for dynamical systems have recently been complemented by basin stability and derived measures, i.e. probabilistic statements whether systems remain in…
Tweaking Synchronisation by Link Addition
Paul Schultz, Thomas Peron, Deniz Eroglu +4
Natural and man-made networks often possess locally tree-like sub-structures. Taking such tree networks as our starting point, we show how the addition of links changes the synchro…
The impact of model detail on power grid resilience measures
Sabine Auer, Kirsten Kleis, Paul Schultz +2
Extreme events represent a challenge to natural as well as man-made systems. For critical infrastructure like power grids, we need to understand their resilience against large dist…