10 papers
Global continuation as a complement to traditional continuation and bifurcation analysis
George Datseris, Andreas Morr, Muhammed Fadera +1
Multistable dynamical systems are ever-prevalent, used to model for example ecosystems, power grids, climate elements, neurons, and more. When perturbed, such systems may ``tip'' f…
Estimating the Resilience of Non-Stationary Systems
Taylor Smith, Andreas Morr, Christof Schötz +1
A wide body of work has applied the concept of critical slowing down to estimate the stability of different Earth system components. Most of them -- such as global vegetation -- ar…
Extrapolation from historical data cannot reliably predict the time of a potential AMOC collapse
Andreas Morr, Maya Ben-Yami, Brian Groenke +6
Ditlevsen and Ditlevsen [Nature Communications, 2023] (DD23 hereafter) propose a statistical framework to estimate the timing of a potential collapse of the Atlantic Meridional Ove…
Statistical warning indicators for abrupt transitions in dynamical systems with slow periodic forcing
Florian Suerhoff, Andreas Morr, Sebastian Bathiany +2
There is growing interest in anticipating critical transitions in natural systems, often pursued through statistical detection of early warning signals associated with dynamical bi…
Computing Resilience Measures in Dynamical Systems
Andreas Morr, Christian Kuehn, George Datseris
Resilience broadly describes a quality of withstanding perturbations. Measures of system resilience have gathered increasing attention across applied disciplines, yet existing metr…
Red noise in continuous-time stochastic modelling
Andreas Morr, Dörte Kreher, Niklas Boers
The concept of time-correlated noise is important to applied stochastic modelling. Nevertheless, there is no generally agreed-upon definition of the term red noise in continuous-ti…