Skip to main content
SpringerLink
Log in

Structural properties of the dynamics in flare fragmentation

  • Published:
Solar Physics Aims and scope Submit manuscript

Abstract

Solar flares have a fragmented structure. Dynamical systems theory, for instance in its form of dimensional analysis, can analyze such structures. It answers the question whether the underlying process is deterministic or stochastic. If the process is deterministic, it provides a measure of how complicated the process is (the fractal dimension). In order to be reliable, the analysis has to be combined with the investigation of stationarity.

We apply this method to ms-spikes, observed in the decimetric range, which are possibly a manifestation of flare fragmentation. We compare the system-theoretical properties - such as stationarity, stochasticity or deterministic behaviour - of the ms-spikes to the properties of several classes of suggested scenarios. This permits us to discuss different scenarios from a general point of view and to derive general properties of the source.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Atmanspacher, H., Scheingraber, H., and Voges, W.: 1988, Phys. Rev. A37, 1314.

    Google Scholar 

  • Brandstater, A. and Swinney, H. L.: 1987, Phys. Rev. A35, 2207.

    Google Scholar 

  • Cannizzo, J. K., Goodings, D. A., and Mattei, J. A.: 1990, Astrophys. J. 357, 235.

    Google Scholar 

  • Eckmann, J. P. and Ruelle, D.: 1985, Rev. Mod. Phys. 57, 617.

    Google Scholar 

  • Ellner, S.: 1983, Phys. Letters A133, 128.

    Google Scholar 

  • Grassberger, P. and Procaccia, I.: 1983a, Phys. Rev. Letters 50, 346.

    Google Scholar 

  • Grassberger, P. and Procaccia, I.: 1983b, Physica D9, 189.

    Google Scholar 

  • Güdel, M. and Benz, A. O.: 1990, Astron. Astrophys. 231, 202.

    Google Scholar 

  • Isliker, H.: 1992 (to be published).

  • Isliker, H. and Kurths, J.: 1992 (to be published).

  • Osborne, A. R. and Provenzale, A.: 1989, Physica D35, 357.

    Google Scholar 

  • Ruelle, D.: 1990, Proc. Roy. Soc. London A427, 241.

    Google Scholar 

  • Takens, F.: 1981, Dynamical Systems and Turbulence, Lecture Notes in Mathematics, Vol. 898, p. 366.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Astronomie, ETH Zentrum, CH-8092, Zürich, Switzerland

    Heinz Isliker

Authors
  1. Heinz Isliker
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Isliker, H. Structural properties of the dynamics in flare fragmentation. Sol Phys 141, 325–334 (1992). https://doi.org/10.1007/BF00155183

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00155183

Keywords

Search

Navigation