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| Titel |
Bistable systems with stochastic noise: virtues and limits of effective one-dimensional Langevin equations |
| VerfasserIn |
V. Lucarini, D. Faranda, M. Willeit |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 19, no. 1 ; Nr. 19, no. 1 (2012-01-03), S.9-22 |
| Datensatznummer |
250014161
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| Publikation (Nr.) |
 copernicus.org/npg-19-9-2012.pdf |
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| Zusammenfassung |
| The understanding of the statistical properties and of the dynamics of
multistable systems is gaining more and more importance in a vast variety of
scientific fields. This is especially relevant for the investigation of the
tipping points of complex systems. Sometimes, in order to understand the
time series of given observables exhibiting bimodal distributions, simple
one-dimensional Langevin models are fitted to reproduce the observed
statistical properties, and used to investing-ate the projected dynamics of
the observable. This is of great relevance for studying potential
catastrophic changes in the properties of the underlying system or resonant
behaviours like those related to stochastic resonance-like mechanisms. In
this paper, we propose a framework for encasing this kind of studies, using
simple box models of the oceanic circulation and choosing as observable the
strength of the thermohaline circulation. We study the statistical
properties of the transitions between the two modes of operation of the
thermohaline circulation under symmetric boundary forcings and test their
agreement with simplified one-dimensional phenomenological theories. We
extend our analysis to include stochastic resonance-like amplification
processes. We conclude that fitted one-dimensional Langevin models, when
closely scrutinised, may result to be more ad-hoc than they seem, lacking
robustness and/or well-posedness. They should be treated with care, more as
an empiric descriptive tool than as methodology with predictive power. |
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