Variations in stability revealed by temporal asymmetries in contraction of phase space flow.

ABSTRACT: Empirical diagnosis of stability has received considerable attention, often focused on variance metrics for early warning signals of abrupt system change or delicate techniques measuring Lyapunov spectra. The theoretical foundation for the popular early warning signal approach has been limited to relatively simple system changes such as bifurcating fixed points where variability is extrinsic to the steady state. We offer a novel measurement of stability that applies in wide ranging systems that contain variability in both internal steady state dynamics and in response to external perturbations. Utilizing connections between stability, dissipation, and phase space flow, we show that stability correlates with temporal asymmetry in a measure of phase space flow contraction. Our method is gene

SUBMITTER: Williams ZC 

PROVIDER: S-EPMC7970983 | biostudies-literature | 2021 Mar

REPOSITORIES: biostudies-literature