Physics
Scientific paper
Aug 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991georl..18.1647s&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 18, Aug. 1991, p. 1647-1650.
Physics
19
Auroral Electrojets, Chaos, Magnetospheric Instability, Time Series Analysis, Autocorrelation, Indexes (Ratios), Magnetoactivity, Solar Wind
Scientific paper
Several authors have employed the embedding-dimension method to analyze time series of geomagnetic indices, with differing results for the value of the correlation dimension nu. It is argued that these differences may arise from corresponding differences in the length and construction of the various data sets used. Practical application of the method to sets of discretized data requires use of a delay time scale set by the autocorrelation time of the data set. It is found that a particular data set containing 35 days of AE exhibits an autocorrelation time tau(c) longer by an order of magnitude than that of a short-duration (less than 5 days) set, raising the possibility that extant analyses of long-duration sets may have employed delay times shorter than tau(c). In addition, the power spectrum of AE reveals modulation at a period of 24 hr. A numerical experiment on the logistic map shows that such modulation introduces an extra degree of freedom in the data, resulting in an augmented correlation dimension.
Goertz Christoph
Shan Lin-Hua
Smith Robert A.
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