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| Titel |
Unstable periodic orbits and attractor of the barotropic ocean model |
| VerfasserIn |
E. Kazantsev |
| 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 ; 5, no. 4 ; Nr. 5, no. 4, S.193-208 |
| Datensatznummer |
250002638
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| Publikation (Nr.) |
 copernicus.org/npg-5-193-1998.pdf |
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| Zusammenfassung |
| A numerical method for detection of unstable periodic orbits
on attractors of nonlinear models is proposed. The method requires similar
techniques to data assimilation. This fact facilitates its implementation for
geophysical models. This method was used to find numerically several low-period
orbits for the barotropic ocean model in a square. Some numerical particularities of
application of this method are discussed. Knowledge of periodic orbits of the model helps
to explain some of these features like bimodality of probability density functions (PDF)
of principal parameters. These PDFs have been reconstructed as weighted averages of
periodic orbits with weights proportional to the period of the orbit and inversely
proportional to the sum of positive Lyapunov exponents. The fraction of time spent in the
vicinity of each periodic orbit has been compared with its instability characteristics.
The relationship between these values shows the 93% correlation. The
attractor dimension of the model has also been approximated as a weighted average of local
attractor dimensions in vicinities of periodic orbits. |
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