Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009agufmsh23b1551l&link_type=abstract
American Geophysical Union, Fall Meeting 2009, abstract #SH23B-1551
Astronomy and Astrophysics
Astrophysics
[7599] Solar Physics, Astrophysics, And Astronomy / General Or Miscellaneous
Scientific paper
Two systems of Lorenz type equations are studied: First a low order dynamic system. The toroidal and poloidal fields are represented by x and y coordinates respectively. 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 the point on the hyperplane Re(first coordinate)= 0 to return there again. The periods of points in the attractor are distributed in a bounded interval. For high values of the Dynamo number (D) of the complex generalization there is a long tail toward long periods. Finally these results are discussed in relation to observed solar cycles, based on various indicators.The most recent cycle 23 has been longer than averaged observed cycles.
Lundstedt Henrik
Persson Tomas
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