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Constrained basin stability for studying transient phenomena in dynamical systems
Stockholm University, Faculty of Science, Stockholm Resilience Centre. Potsdam Institute for Climate Impact Research, Germany.
Number of Authors: 4
2016 (English)In: Physical Review E, ISSN 2470-0045, Vol. 93, no 4Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2016. Vol. 93, no 4
National Category
Physical Sciences Mathematics
Identifiers
URN: urn:nbn:se:su:diva-130166DOI: 10.1103/PhysRevE.93.042205ISI: 000373883900002OAI: oai:DiVA.org:su-130166DiVA: diva2:927573
Available from: 2016-05-12 Created: 2016-05-09 Last updated: 2016-05-12Bibliographically approved

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Donges, Jonathan F.
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Stockholm Resilience Centre
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