Hostname: page-component-7bb8b95d7b-2h6rp Total loading time: 0 Render date: 2024-10-06T15:20:33.231Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Dimension of the Solar Activity Attractor

Published online by Cambridge University Press:  19 July 2016

C.M. Orzaru
C.M. Orzaru*
Affiliation:
Astronomical Institute of the Romanian Academy Str. Cutitul de Argint 5, 75212 Bucuresti 28 Romania

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The correlation dimension D(2) as a characteristic measure of the regular or chaotic behaviour of the solar dynamical system has been calculated. The algorithm suggested by Grassberger and Procaccia (1983) has been applied to time series of relative sunspot numbers and of areas of sunspots and faculae. In the first case, a correlation dimension D(2) ≃ 1.5 has been found; in the other two cases, the algorithm was not convergent, the results obtained being not relevant, due to the too short series of data available.

Type
2. Long-Term Variability of the Solar Magnetic Cycle
Information
Symposium - International Astronomical Union , Volume 157: The Cosmic Dynamo , 1993 , pp. 91 - 95
Copyright
Copyright © Kluwer 1993 

References

Eckmann, J.P., Ruelle, D.: 1985, Rev. Mod. Phys. 57, 617.CrossRefGoogle Scholar
Grassberger, P., Procaccia, I., 1983, Phys. Rev. Lett. 50, 346.CrossRefGoogle Scholar
Judd, K., Mees, A.I., 1991, Intern. Journal of Bifurcation and Chaos , vol. 1, No. 2, 467–470.Google Scholar
Kurths, J., 1987, preprint ZIAP Google Scholar
Kurths, J., Herzel, H., 1987, Physica 25D, 165–172.Google Scholar
Kurths, J., Benz, A.O., Aschwanden, M.J., 1991, Astron. Astrophys. 248, 270–276.Google Scholar
Ruzmaikin, A.A., 1990, in IAU Symp. 138 Solar Photosphere: Structure, Convection and Magnetic Fields, Stenflo, J. O. ed., 343–353.Google Scholar
Zeldovich, Y.B., Ruzmaikin, A.A., 1983, Astrophys. and Space Phys. Rev. , vol. 2, 333–383.Google Scholar