An attractor in a solar time series

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Abstract

A time series analysis of observed solar radio pulsations suggests that there must be a low-dimensional attractor. The power spectrum cannot be interpreted as a superposition of periodic components. Estimates of the maximum Lyapunov exponent and of the Kolmogorov entropy give some indications for a deterministic chaos. In order to study the limitations inherent in small data samples we include data from the Lorenz model and an artificial noise record. Consequences for the physical modelling of the pulsation event are discussed.

References (25)

  • P. Grassberger et al.

    Physica

    (1984)
  • A. Wolf et al.

    Physica

    (1985)
  • J.D. Farmer et al.

    Physica

    (1983)
  • M. Bath

    Spectral Analysis in Geophysics

    (1974)
  • J.-P. Eckmann et al.

    Ergodic theory of chaos and strange attractors

    Rev. Mod. Phys.

    (1985)
  • A. Krüger

    Introduction to Solar Radio Astronomy and Radio Physics

    (1979)
  • M. Karlicky, H. Aurass and G. Mann, Radio observation of the solar neutron flare of June 3, 1982,...
  • K.F. Tapping

    Sol. Phys.

    (1983)
  • V.V. Zaitzev et al.

    Sol. Phys.

    (1984)
  • G.M. Jenkins et al.

    Spectral Analysis and its Applications

    (1968)
  • E.A. Robinson
  • G.E.P. Box et al.

    Time Series Analysis

    (1970)
  • Cited by (0)

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