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Transient dynamics are of large interest in many areas of science. Here, a generalization of basin stability (BS) is presented: constrained basin stability (CBS) that is sensitive to various different types of transients arising from finite size perturbations. CBS is applied to the paradigmatic Lorenz system for uncovering nonlinear precursory phenomena of a boundary crisis bifurcation. Further, CBS is used in a model of the Earth's carbon cycle as a return time-dependent stability measure of the system's global attractor. Both case studies illustrate how CBS's sensitivity to transients complements BS in its function as an early warning signal and as a stability measure. CBS is broadly applicable in systems where transients matter, from physics and engineering to sustainability science. Thus CBS complements stability analysis with BS as well as classical linear stability analysis and will be a useful tool for many applications.
Research news | 2017-08-18
Collaborative governance not always fit for solving environmental problems, according to new review article in Science
Research news | 2017-08-14
Free online conference, Ecology and civilization , for young scholars happening from 14-18 August 2017. Stockholm Resilience Centre will host a session on 15 August at 16:30 (UTC)
Research news | 2017-08-08
Centre scientists and CEO’s of world largest seafood companies form coalition to turn seafood industry more sustainable. New PNAS study highlights the importance and process of science-business partnerships
Research news | 2017-08-03
New study looks at ecological compensation, a novel legal and policy instrument, and how Sweden is using it to balance development and conservation of important biological and social areas
General news | 2017-07-20
Initiative is the first time that companies from Asia, Europe and the US have come together with the aim to end unsustainable practices
Research news | 2017-07-19
Financial markets example of how information flows are turning increasingly faster and more complex in the Anthropocene