Signatures of discrete scale invariance in Dst time series

Details Signatures of discrete scale invariance in Dst time series Signatures of discrete scale invariance in Dst time series

Jul 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011georl..3813103b&link_type=abstract

Geophysical Research Letters, Volume 38, Issue 13, CiteID L13103

Physics

Geophysics

Magnetospheric Physics: Forecasting (1922, 4315, 7924, 7964), Magnetospheric Physics: Magnetic Storms And Substorms (4305, 7954), Mathematical Geophysics: Time Series Analysis (1872, 1988, 4277, 4475), Nonlinear Geophysics: Scaling: Spatial And Temporal (1872, 1988, 3265, 3270, 4277, 7857)

Scientific paper

Self-similar systems are characterized by continuous scale invariance and, in response, the existence of power laws. However, a significant number of systems exhibits discrete scale invariance (DSI) which in turn leads to log-periodic corrections to scaling that decorate the pure power law. Here, we present the results of a search of log-periodic corrections to scaling in the squares of Dst index increments which are taken as proxies of the energy dissipation rate in the magnetosphere. We show that Dst time series exhibit DSI and discuss the consequence of this feature, as well as the possible implications of Dst DSI on space weather forecasting efforts.

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