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Titel |
Double rank-ordering technique of ROMA (Rank-Ordered Multifractal Analysis) for multifractal fluctuations featuring multiple regimes of scales |
VerfasserIn |
S. W. Y. Tam, T. Chang |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1023-5809
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Digitales Dokument |
URL |
Erschienen |
In: Nonlinear Processes in Geophysics ; 18, no. 3 ; Nr. 18, no. 3 (2011-06-24), S.405-414 |
Datensatznummer |
250013926
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Publikation (Nr.) |
copernicus.org/npg-18-405-2011.pdf |
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Zusammenfassung |
Rank-Ordered Multifractal Analysis (ROMA), a technique
capable of deciphering the multifractal characteristics of intermittent
fluctuations, was originally applied to the results of a magnetohydrodynamic
(MHD) simulation. Application of ROMA to measured fluctuations in the
auroral zone, due to the dominant physical effects changing from kinetic to
MHD as the scale increases, requires an additional level of rank-ordering in
order to divide the domain of scales into regimes. An algorithm for the
additional step in this double rank-ordering technique is discussed, and is
demonstrated in the application to the electric field fluctuations in the
auroral zone as an example. As a result of the double rank-ordering, ROMA is
able to take into account the nonlinear crossover behavior characterized by
the multiple regimes of time scales by providing a scaling variable and a
scaling function that are global to all the time scales. |
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