Hostname: page-component-8448b6f56d-t5pn6 Total loading time: 0 Render date: 2024-04-25T05:32:42.883Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Chaotic Nature of Solar Activity

Published online by Cambridge University Press:  12 April 2016

J. Kurths ,
U. Feudel  and
W. Jansen
J. Kurths
Affiliation:
Institute of Astrophysics, D-0-1501, Tremsdorf, Germany
U. Feudel
Affiliation:
Institute of Cybe Rnetics and Information-Processes, D-0-1086, Berlin, Germany
W. Jansen
Affiliation:
Institute of Cybe Rnetics and Information-Processes, D-0-1086, Berlin, Germany

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.

Applying modern techniques of time series analysis, there are serious indications that the dynamics of the global solar activity is a low dimensional chaos. A simple non-linear dynamo model is qualitatively studied exhibiting a rich dynamical behaviour from steady state via some bifurcation to a chaotic regime.

Type
Part I Chaos
Information
International Astronomical Union Colloquium , Volume 132: Instability, Chaos and Predictability in Celestial Mechanics and Stellar Dynamics , 1993 , pp. 13 - 20
Copyright
Copyright © Nova Science Publishers 1993

References

1 Eddy, J.A., (1976), Science 286, 1198.Google Scholar
2 Farmer, J.D. and Sidorovich, J.J. (1987), Phys. Rev.Lett. 59, 845.Google Scholar
3 Feudel, U. and Jansen, W. (1988), in: System Analysis and Simulation, Akademie-Verlag, Berlin.Google Scholar
4 Grassberger, P. and Procaccia, I. (1983), Phys.Rev.Lett. 50,346.Google Scholar
5 Kaneko, K. (1986), Collapse of Tori and Genesis of Chaos in Dissipative Systems, World Scienctific, Singapore.Google Scholar
6 Kaplan, J.L. and Yorke, K.-H, (1979), Comm. Math. Phys. 67, 63.CrossRefGoogle Scholar
7 Kurths, J. (1987), Preprint.Google Scholar
8 Kurths, J. and Ruzmaikin, A.A. (1990), Solar Phys. 126, 403.Google Scholar
9 Malinetsky, G.G., Ruzmaikin, A.A. and Samarsky, A.A. (1986) Preprint.Google Scholar
10 Newhouse, S., Ruelle, D. and Takens, F. (1978), Comm. Math. Phys. 6435.Google Scholar
11 Nicolis, G. (1990), Private Communication.Google Scholar
12 Priest, E. (1982), Solar Magnetohydrodynamics, Reidel, Dordrecht.Google Scholar
13 Ruelle, D. (1989), C-haotic Evolution and Strange Attractors, University Press, Cambridge.Google Scholar
14 Shimada, J. and Nagashima, T. (1979), Progr. Theor. Phys. 61, 1605.Google Scholar
15 Takens, F. (1981) in: Lect. Notes in Math. Vol. 898, Springer, Berlin.Google Scholar
16 Weiss, N.O. (1988) in: NATO ASI Series C Vol. 236, Kluwer, Dordrecht.Google Scholar
17. Krause, F. and Radler, K.-H: (1980), Mean-Field Magnetohydrodynamics and Dynamo Theory, Akademie-Verlag, Berlin.Google Scholar