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| Titel |
Modelling solar cycle length based on Poincaré maps for Lorenz-type equations |
| VerfasserIn |
H. Lundstedt, T. Persson |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
0992-7689
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| Digitales Dokument |
URL |
| Erschienen |
In: Annales Geophysicae ; 28, no. 4 ; Nr. 28, no. 4 (2010-04-21), S.993-1002 |
| Datensatznummer |
250016821
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| Publikation (Nr.) |
 copernicus.org/angeo-28-993-2010.pdf |
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| Zusammenfassung |
| Two systems of Lorenz-type equations modelling solar magnetic activity
are studied: Firstly a low order dynamic system in which the toroidal
and poloidal fields are represented by x- and y-coordinates
respectively, and the hydrodynamical information is given by the z
coordinate. Secondly a complex generalization of the three ordinary
differential equations studied by Lorenz.
By studying the Poincaré map we give numerical evidence that the
flow has an attractor with fractal structure.
The period is defined as the time needed for a point on a hyperplane
to return to the hyperplane again. The periods are distributed in an
interval. For large values of the Dynamo number there is a long tail
toward long periods and other interesting comet-like features.
These general relations found for periods can further be physically
interpreted with improved helioseismic estimates of the parameters
used by the dynamical systems. Solar Dynamic Observatory is expected
to offer such improved measurements. |
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