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Reconstruction of low‐dimensional magnetospheric dynamics by singular spectrum analysis
Author(s) -
Sharma A. S.,
Vassiliadis D.,
Papadopoulos K.
Publication year - 1993
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/93gl00242
Subject(s) - curse of dimensionality , phase space , physics , dynamics (music) , dimension (graph theory) , statistical physics , singular spectrum analysis , spectral analysis , spectrum (functional analysis) , space (punctuation) , computational physics , geophysics , mathematics , singular value decomposition , computer science , statistics , algorithm , spectroscopy , astronomy , quantum mechanics , acoustics , pure mathematics , thermodynamics , operating system
The low dimensionality of magnetospheric activity indicated by previous phase space reconstructions using the AE and AL data suffer from the limitations of these techniques. In this paper the singular spectrum analysis is used to study the global magnetospheric dynamics using the AE data and it yields a correlation dimension ≃2.5, thus confirming the low dimensionality published earlier. Further, this technique shows that the global magnetospheric dynamics can be described by 3 variables whose dynamical features are obtained from the AE data.