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Data based quest for solar wind‐magnetosphere coupling function
Author(s) -
Balikhin M. A.,
Boynton R. J.,
Billings S. A.,
Gedalin M.,
Ganushki.,
Coca D.,
Wei H.
Publication year - 2010
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 - 10.1029/2010gl045733
Subject(s) - magnetosphere , solar wind , nonlinear system , physics , autoregressive–moving average model , coupling (piping) , function (biology) , meteorology , statistical physics , computational physics , mathematics , geophysics , autoregressive model , econometrics , plasma , quantum mechanics , engineering , mechanical engineering , evolutionary biology , biology
The NARMAX (Nonlinear Autoregressive Moving Average with eXogenous inputs) modeling based approach is used to identify the relations for Solar wind Magnetosphere Coupling Functions in order to identify the one with the best D st index forecasting abilities. It is argued that the Error Reduction Ratio which is a cornerstone concept in the NARMAX system identification methodology is more appropriate for such nonlinear system as the terrestrial magnetosphere than correlation function analysis which has often been used in the past. It is shown that the identified relationships for coupling functions are proportional to , where is the clock angle, and not to as was suggested in earlier studies. It is shown that the factor appears naturally within the analytical model of Kan and Lee (1979) as the dependence on the clock angle.

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