Philipp Böttcher

Aug 29, 2023 | link.aps.org | Philipp Böttcher |Forschungszentrum Jülich |Benjamin Schäfer |Applied Informatics

Quantifying the stability of an equilibrium is central in the theory of dynamical systems as well as in engineering and control. A comprehensive picture must include the response to both small and large perturbations, leading to the concepts of local (linear) and global stability. Here, we show how systems displaying Hopf bifurcations show contrarian results for these two aspects of stability: Global stability is large close to the point where the system loses its stability altogether.