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| Titel |
Prebifurcation noise amplification and noise-dependent hysteresis as indicators of bifurcations in nonlinear geophysical systems |
| VerfasserIn |
E. Surovyatkina |
| 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 ; 12, no. 1 ; Nr. 12, no. 1 (2005-01-13), S.25-29 |
| Datensatznummer |
250010376
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| Publikation (Nr.) |
 copernicus.org/npg-12-25-2005.pdf |
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| Zusammenfassung |
| The phenomena of prebifurcation noise amplification and noise-dependent
hysteresis are studied as prospective indicators of bifurcations ("noisy
precursor") in nonlinear Geophysical systems. The phenomenon of
prebifurcation noise amplification arises due to decreasing of damping
coefficients just before bifurcation. A simple method for the estimation of
the forced fluctuation variance is suggested which is based on results
of linear theory up to the boundary of its validity. The upper level for the
fluctuation variance before the onset of the bifurcation is estimated from
the condition that the contribution of the non-linear term becomes
comparable (in the sense of mean squares) with that of the linear term. The
method has proved to be efficient for two simple bifurcation models (period
doubling bifurcation and pitchfork bifurcation) and might be helpful in
application to geophysics problems. The transition of a nonlinear system
through the bifurcation point offers a new opportunity for estimating the
internal noise using the magnitude of the noise-dependent hysteretic loop,
which occurs when the control parameter is changed in the forward and
backward direction. |
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