World Library  

Add to Book Shelf
Flag as Inappropriate
Email this Book

Rank Ordering Multifractal Analysis of the Auroral Electrojet Index : Volume 18, Issue 3 (06/05/2011)

By Consolini, G.

Click here to view

Book Id: WPLBN0003983763
Format Type: PDF Article :
File Size: Pages 9
Reproduction Date: 2015

Title: Rank Ordering Multifractal Analysis of the Auroral Electrojet Index : Volume 18, Issue 3 (06/05/2011)  
Author: Consolini, G.
Volume: Vol. 18, Issue 3
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


APA MLA Chicago

Michelis, P. D., & Consolini, G. (2011). Rank Ordering Multifractal Analysis of the Auroral Electrojet Index : Volume 18, Issue 3 (06/05/2011). Retrieved from

Description: INAF-Istituto di Fisica dello Spazio Interplanetario, 00133 Roma, Italy. In the second half of the 90s interest grew on the complex features of the magnetospheric dynamics in response to solar wind changes. An important series of papers were published on the occurrence of chaos, turbulence and complexity. Among them, particularly interesting was the study of the bursty and fractal/multifractal character of the high latitude energy release during geomagnetic storms, which was evidenced by analyzing the features of the Auroral Electrojet (AE) indices. Recently, the multifractal features of the small time-scale increments of AE-indices have been criticized in favor of a more simple fractal behavior. This is particularly true for the scaling features of the probability density functions (PDFs) of the AE index increments. Here, after a brief review of the nature of the fractal/multifractal features of the magnetospheric response to solar wind changes, we investigate the multifractal nature of the scaling features of the AE index increments PDFs using the Rank Ordering Multifractal Analysis (ROMA) technique. The ROMA results clearly demonstrate the existence of a hierarchy of scaling indices, depending on the increment amplitude, for the data collapsing of PDFs relative to increments at different time scales. Our results confirm the previous results by Consolini et al. (1996) and the more recent results by Rypdal and Rypdal (2010).

Rank ordering multifractal analysis of the auroral electrojet index

Burlaga, M. F.: Multifractal structure of the interplanetary magnetic field – Voyager 2 observations near 25 AU, 1987–1988, Geophys. Res. Lett., 18, 69–72, 1991a.; Anh, V. V., Yong J. M., and Yu, Z. G.: Stochastic modeling of the auroral electrojet index, J. Geophys. Res., 113, A10215, doi:10.1029/2007JA012851, 2008.; Benzi, R., Paladin, G., Vulpiani, A., and Parisi, G.: On the multifractal nature of fully developed turbulence and chaotic systems, J. Phys. A, Math. Gen., 17, 3521–3531 1984.; Burlaga, M. F.: Multifractal structure of speed fluctuations in recurrent streams at 1 AU and near 6 AU, Geophys. Res. Lett., 18, 1651–1654 1991b.; Carbone, V.:, Cascade model for intermittency in fully developed magnetohydrodynamic turbulence, Phys. Rev. Lett., 71, 1546–1549, 1993.; Chang, T. S.: Low dimensional behaviour and symmetry breaking of stochastic systems near criticality-can these effects be observed in space and in the laboratory?, IEEE Trans. Plasma. Sci., 20, 691–694, doi:10.1109/27.199515, 1992.; Chang, T. S.: Self-organized criticality, multi-fractal spectra, sporadic localized reconnections and intermittent turbulence in magnetotail, Phys. Plasmas, 6, 4137–4145, doi:10.1063/1.873678, 1999.; Chang, T. S. and Wu, C. C.: Rank-ordered multifractal spectrum for intermittent fluctuations, Phys. Rev. E, 77, 045401, doi:10.1103/PhysRevE.77.045401, 2008.; Chang, T. S., Hankey, A., and Stanley, H. E.: Double-power scaling functions near tricritical points, Phys. Rev. B, 7, 4263–4266, doi:10.1103/PhysRevB.7.4263, 1973.; Chang, T. S., Wu, C. C., Podesta, J., Echim, M., Lamy, H., and Tam, S. W. Y.: ROMA (Rank-Ordered Multifractal Analyses) of intermittency in space plasmas – a brief tutorial review, Nonlinear Proc. Geophys., 17, 545–551, doi:10.5194/npg-17-545-2010, 2010.; Chapman S. C., Watkins, N. W., Dendy, R. O., Helander, P., and Rowlands G.: A Simple Avalanche Model as an Analogue for Magnetospheric Activity, Geophys. Res. Lett., 25, 2397–2400, doi:10.1029/98GL51700, 1998.; Chapman, S. C., Hnat, B., Rowlands, G., and Watkins, N. W.: Scaling collapse and structure functions: identifying self-affinity in finite length time series, Nonlin. Processes Geophys., 12, 767-774, doi:10.5194/npg-12-767-2005, 2005.; Consolini, G.: Sandpile cellular automata and magnetospheric dynamics, in: Proc. 8th GIFCO Conference: Cosmic Physics in the Year 2000: Scientific Perspectives and New Instrumentations, edited by: Aiello, S., Iucci, N., Sironi, G., Treves, A., and Villante, U., 123, SIF Bologna, 1997.; Consolini, G.: Self-organized criticality: a new paradigm for the magnetotail dynamics, Fractals, 10, 275–283, 2002.; Consolini, G. and De Michelis, P.: Non-Gaussian distribution function of AE-index fluctuations: evidence for time intermittency, Geophys. Res. Lett., 25, 4087–4090, doi:10.1029/1998GL900073, 1998.; Consolini, G. and De Michelis, P.: A revised forest-fire cellular automaton for the nonlinear dynamics of the Earth's magnetotail, J. Atmos. Solar-Terr. Phys., 63, 1371–1377, doi:10.1016/S1364-6826(00)00238-8, 2001.; Consolini, G. and De Michelis, P.: Local intermittency measure analysis of AE index: The directly driven and unloading component, Geophys. Res. Lett., 32, L05101, doi:10.1029/2004GL022063, 2005.; Consolini, G., Ma


Click To View

Additional Books

  • An Extension of Conditional Nonlinear Op... (by )
  • Phase-space Holes Due to Electron and Io... (by )
  • Low-frequency Linear Waves and Instabili... (by )
  • Spatiotemporal Characterization of Ensem... (by )
  • Is Current Disruption Associated with an... (by )
  • Topographic Instability of Flow in a Rot... (by )
  • A Quasi-analytical Ice-sheet Model for C... (by )
  • Streamflow Disaggregation: a Nonlinear D... (by )
  • Contraction of Westward-travelling Nonlo... (by )
  • Global Terrestrial Water Storage Connect... (by )
  • The Effect of Third-order Nonlinearity o... (by )
  • A Propagation-separation Approach to Est... (by )
Scroll Left
Scroll Right


Copyright © World Library Foundation. All rights reserved. eBooks from World eBook Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.