Correlation dimension and affinity of AE data and bicolored noise

Details Correlation dimension and affinity of AE data and bicolored noise Correlation dimension and affinity of AE data and bicolored noise

Aug 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993georl..20.1527t&link_type=abstract

Geophysical Research Letters (ISSN 0094-8276), vol. 20, no. 15, p. 1527-1530.

Physics

54

Auroral Electrojets, Correlation, Earth Magnetosphere, Electromagnetic Noise, Magnetic Storms, Periodic Variations, Fourier Series, Mathematical Models, Power Spectra, Stochastic Processes, Time Series Analysis

Scientific paper

A detailed analysis of several periods of the AE time series is performed. Bicolored noise was generated, and it is shown to have many properties in common with the AE data. The use of the Grassberger and Procaccia (1983) algorithm indicates saturation at a low dimension for both data, but the use of a modified integral does not. The self-affinity curves for both data sets exhibit a sharp break at a critical time scale, which has a counterpart in the power spectrum. The autocorrelation times of both sets of data seem to scale with the length of the time series and are of the same order of magnitude. A characteristic time scale of two hours in the AE data is obtained. It is argued to be related to the typical length of magnetospheric substorms.

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