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

By Yu, Z. G.

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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
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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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

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.

Multifractal analysis of solar flare indices and their horizontal visibility graphs

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