Stability of highdimensional technical and ecological systems against large perturbations
I am working on the development and application of new approaches to quantify the non-local stability of certain 'desired' states in highdimensional nonlinear systems which exhibit multistability. In multistable systems, perturbations of certain magnitude can induce transitions towards unwanted alternative states. Such an 'undesired' state could be, for instance, a power outage in an electrical distribution grid or the extinction of several or all species within an ecological network.
- Nonlinear dynamics, especially multistability, complex networks and multistability in complex networks
- Theoretical ecology, especially extinction thresholds, mutualistic communities and extinction thresholds in mutualistic communities
Multistability and Tipping: From Mathematics and Physics to Climate and Brain, Workshop, Max-Planck-Institute for the Physics of Complex Systems, Dresden, October 2016. Halekotte, L., Yorke, J.A., Feudel. U.: The easiest way to destabilize a changing network. (Poster)