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The geomagnetic activity of the Dst index is an- alyzed using wavelet transforms and it is shown that the Dst index possesses properties associated with self-affine frac- tals. For example, the power spectral density obeys a power- law dependence on frequency, and therefore the Dst index can be viewed as a self-affine fractal dynamic process. In fact, the behaviour of the Dst index, with a Hurst exponent H 0.5 (power-law exponent 2) at high frequency, is sim- ilar to that of Brownian motion. Therefore, the dynamical invariants of the Dst index may be described by a potential Brownian motion model. Characterization of the geomag- netic activity has been studied by analysing the geomagnetic field using a wavelet covariance technique. The wavelet co- variance exponent provides a direct effective measure of the strength of persistence of the Dst index. One of the advan- tages of wavelet analysis is that many inherent problems en- countered in Fourier transform methods, such as windowing and detrending, are not necessary.

nonlinear processes in geophysics

Analysis of the geomagnetic activity of the &amp;lt;i&amp;gt;D&amp;lt;sub&amp;gt;st&amp;lt;/sub&amp;gt;&amp;lt;/i&amp;gt; index and self-affine fractals using wavelet transforms