Correlation dimension and affinity of AE data and bicolored noise

We have made a detailed analysis of several periods of the AE time series and find that the average correlation dimension is 3.4. We have generated bicolored noise and shown that it shares many properties with the AE data. We also find that the AE time series is self‐affine such that the affinity ex...

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Bibliographic Details
Published inGeophysical research letters Vol. 20; no. 15; pp. 1527 - 1530
Main Authors Takalo, J., Timonen, J., Koskinen, H.
Format Journal Article
LanguageEnglish
Published Washington, DC Blackwell Publishing Ltd 06.08.1993
American Geophysical Union
Subjects
Affinity
Correlation
Earth, ocean, space
Exact sciences and technology
External geophysics
Geophysics
Magnetospheres
Magnetospheric configuration
Noise
Noise generation
Physics of the magnetosphere
Spectra
Time series
Random noise
Magnetospheric substorm
Time series
Fractal system
Color noise
AE indice
Dynamical system
Magnetosphere
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Summary:We have made a detailed analysis of several periods of the AE time series and find that the average correlation dimension is 3.4. We have generated bicolored noise and shown that it shares many properties with the AE data. We also find that the AE time series is self‐affine such that the affinity exponent changes on a time scale of about two hours, which is a typical length of magnetospheric substorms. We suggest that this same time scale appears as a spectral break at about 5.6 × 10−5Hz (5‐hour period) in the power spectrum of the AE data.
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ISSN:0094-8276
1944-8007
DOI:10.1029/93GL01596