World Library  


Add to Book Shelf
Flag as Inappropriate
Email this Book

Multifractal Analysis of Solar Flare Indices and Their Horizontal Visibility Graphs : Volume 19, Issue 6 (29/11/2012)

By Yu, Z. G.

Click here to view

Book Id: WPLBN0003976900
Format Type: PDF Article :
File Size: Pages 9
Reproduction Date: 2015

Title: Multifractal Analysis of Solar Flare Indices and Their Horizontal Visibility Graphs : Volume 19, Issue 6 (29/11/2012)  
Author: Yu, Z. G.
Volume: Vol. 19, Issue 6
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
2012
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

Citation

APA MLA Chicago

Anh, V., Wang, D., Eastes, R., & Yu, Z. G. (2012). Multifractal Analysis of Solar Flare Indices and Their Horizontal Visibility Graphs : Volume 19, Issue 6 (29/11/2012). Retrieved from http://hawaiilibrary.net/


Description
Description: Hunan Key Laboratory for Computation & Simulation in Science & Engineering, Xiangtan University, Hunan 411105, China. The multifractal properties of the daily solar X-ray brightness, Xl and Xs, during the period from 1 January 1986 to 31 December 2007 which includes two solar cycles are examined using the universal multifractal approach and multifractal detrended fluctuation analysis. Then we convert these time series into networks using the horizontal visibility graph technique. Multifractal analysis of the resulting networks is performed using an algorithm proposed by us. The results from the multifractal analysis show that multifractality exists in both raw daily time series of X-ray brightness and their horizontal visibility graphs. It is also found that the empirical K(q) curves of raw time series can be fitted by the universal multifractal model. The numerical results on the raw data show that the Solar Cycle 23 is weaker than the Solar Cycle 22 in multifractality. The values of h(2) from multifractal detrended fluctuation analysis for these time series indicate that they are stationary and persistent, and the correlations in the time series of Solar Cycle 23 are stronger than those for Solar Cycle 22. Furthermore, the multifractal scaling for the networks of the time series can reflect some properties which cannot be picked up by using the same analysis on the original time series. This suggests a potentially useful method to explore geophysical data.

Summary
Multifractal analysis of solar flare indices and their horizontal visibility graphs

Excerpt
Abramenko, V. I.: Multifractal analysis of solar magnetograms, Solar Phys., 228, 29–42, 2005.; Anh, V. V., Tieng, Q. M., and Tse, Y. K.: Cointegration of stochastic multifractals with application to foreign exchange rates, Int. Trans. Opera. Res., 7, 349–363, 2000.; Anh, V. V., Lau, K. S., and Yu, Z. G.: Multifractal characterisation of complete genomes, J. Phys. A: Math. Gen., 34, 7127–7139, 2001.; Anh, V. V., Lau, K. S., and Yu, Z. G.: Recognition of an organism from fragments of its complete genome, Phys. Rev. E, 66, 031910, doi:10.1103/PhysRevE.66.031910, 2002.; Anh, V. V., Yu, Z. G., Wanliss, J. A., and Watson, S. M.: Prediction of magnetic storm events using the Dst index, Nonlin. Processes Geophys., 12, 799–806, doi:10.5194/npg-12-799-2005, 2005.; Anh, V. V., Yu, Z.-G., and Wanliss, J. A.: Analysis of global geomagnetic variability, Nonlin. Processes Geophys., 14, 701–708, doi:10.5194/npg-14-701-2007, 2007.; 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.; Canessa, E.: Multifractality in time series, J. Phys. A: Math. Gen., 33, 3637–3651, 2000.; de Berg, M., van Kreveld, M., Overmans, M., and Schwarzkopf, O.: Computational Geometry: Algorithms and Applications (Third Edn.), Springer-Verlag, Berlin, 2008.; de Toma, G., White, O. R., Chapman, G. A., Walton, S. R., Preminger, D. G., and Cookson, A. M.: Solar Cycle 23: An anomalous cycle?, Astrophys. J., 609, 1140–1152, 2004.; Deidda, R.: Rainfall downscaling in a space-time multifractal framework, Water Resour. Res., 36, 1779–1794, doi:0043-1397/00/2000WR900038, 2000.; Donner, R. V., Small, M., Donges, J. F., Marwan, N., Zou, Y., Xiang, R., and Kurths, J.: Recurrence-based time series analysis by means of complex network methods, Int. J. Bifurcat. Chaos, 21, 1019–1046, 2011.; Falconer, K.: Techniques in Fractal Geometry, Wiley, New York, 1997.; Fernández, E., Bolea, J. A., Ortega, G., and Louis, E.: Are neurons multifractals?, J. Neurosci. Method., 89, 151–157, 1999.; Elsner, J. B., Jagger, T. H., and Fogarty, E. A.: Visibility network of United States hurricanes, Geophys. Res. Lett., 36, L16702, doi:10.1029/2009GL039129, 2009.; Garcia-Marin, A. P., Jimenez-Hornero, F. J., and Ayuso-Munoz, J. L.: Universal multifractal description of an hourly rainfall time series from a location in southern Spain, Atmosfera, 21, 347–355, 2008.; Grassberger, P. and Procaccia, I.: Characterization of strange attractors, Phys. Rev. Lett., 50, 346–349, 1983.; Halsy, T., Jensen, M., Kadanoff, L., Procaccia, I., and Schraiman, B.: Fractal measures and their singularities: the characterization of strange sets, Phys. Rev. A., 33, 1141–1151, 1986.; Harris, D., Menabde, M., Alan Seed, A., and Geoff Austin, G.: Multifractal characterizastion of rain fields with a strong orographics influence, J. Geophys. Res., 101, 26405–26414, 1996.; Howard, T. A. and Tappin, S. J.: Statistical survey of earthbound interplanetary shocks: associated coronal mass ejections and their space weather consequence, Astron. Astrophys., 440, 373–383, 2005.; Kantelhardt, J. W., Koscielny-Bunde, E., Rybski, D., Braun, P., Bunde, A., and Havlin, S.: Long-term persistence and multifractality of precipitation and river runoff records, J. Geophys. Res., 111, D01106, doi:10.1029/2005JD005881, 2006.; Kantelhardt, J. W., Zschiegner, S. A., Koscielny-Bunde, E., Bunde, A., Havlin, S., and Stanley, H. E.: Multifractal detrended fluctuation analysis of nonstationary time series, P

 

Click To View

Additional Books


  • Review Article on the Origins of Decadal... (by )
  • Functional Background of the Tsallis Ent... (by )
  • Controlling Thermal Chaos in the Mantle ... (by )
  • Small World in a Seismic Network: the Ca... (by )
  • Scaling Properties of Planetary Calderas... (by )
  • Wavevector Anisotropy of Plasma Turbulen... (by )
  • On Resonant Interactions of Ions with Pl... (by )
  • The Modified Korteweg - De Vries Equatio... (by )
  • A Universal Mirror Wave-mode Threshold C... (by )
  • An Improved Arima Model for Precipitatio... (by )
  • Breeding and Predictability in the Baroc... (by )
  • Chaos in Magnetospheric Radio Emissions ... (by )
Scroll Left
Scroll Right

 



Copyright © World Library Foundation. All rights reserved. eBooks from Hawaii 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.