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| Titel |
Transient behavior in the Lorenz model |
| VerfasserIn |
S. Kravtsov, N. Sugiyama, A. A. Tsonis  |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
2198-5634
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics Discussions ; 1, no. 2 ; Nr. 1, no. 2 (2014-12-09), S.1905-1917 |
| Datensatznummer |
250115138
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| Publikation (Nr.) |
 copernicus.org/npgd-1-1905-2014.pdf |
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| Zusammenfassung |
| Dynamical systems like the one described by the three-variable
Lorenz model may serve as metaphors for complexity in nature. When
natural systems are perturbed by external forcing factors, they tend
to relax back to their equilibrium conditions after the forcing has
shut off. Here we investigate the behavior of such transients in the
Lorenz model by studying its trajectories initialized far away from
the asymptotic attractor. Perhaps somewhat surprisingly, these
transient trajectories exhibit complex routes and, among other
things, sensitivity to initial conditions akin to that of the
asymptotic behavior on the attractor. Thus, similar extreme events
may lead to widely different variations before the perturbed system
returns back to its statistical equilibrium. |
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