Open AccessBootstrapped discrete scale invariance analysis of geomagnetic dipole intensity
Author(s) -
Jonkers Art R. T.
Publication year - 2007
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.2007.03352.x
Subject(s) - dipole , dynamo , secular variation , scaling , series (stratigraphy) , earth's magnetic field , dynamo theory , observable , scale invariance , statistical physics , geomagnetic reversal , physics , sequence (biology) , magnetic dipole , moment (physics) , scale (ratio) , geophysics , geology , mathematics , classical mechanics , paleontology , geometry , magnetic field , quantum mechanics , chemistry , biochemistry
SUMMARY The technique of bootstrapped discrete scale invariance allows multiple time‐series of different observables to be normalized in terms of observed and predicted characteristic timescales. A case study is presented using the SINT2000 time‐series of virtual axial dipole moment, which spans the past 2 Myr. It is shown that this sequence not only bears a clear signature of a preferred timescale of about 55.6 Ka, but additionally predicts similar features (of shorter and longer duration) that are actually observed on the timescales of historical secular variation and dipole reversals, respectively. In turn, the latter two empirical sources both predict the characteristic timescale found in the dipole intensity sequence. These communal scaling characteristics suggest that a single underlying process could be driving dynamo fluctuations across all three observed timescales, from years to millions of years.