Title

Multifractal analysis of solar flare indices and their horizontal visibility graphs

Authors

Authors

Z. G. Yu; V. Anh; R. Eastes;D. L. Wang

Comments

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Abbreviated Journal Title

Nonlinear Process Geophys.

Keywords

SCALE UNIVERSAL MULTIFRACTALS; CHAOS GAME REPRESENTATION; RAINFALL; TIME-SERIES; D-ST INDEX; COMPLEX NETWORKS; STORM EVENTS; SIMULATION; PREDICTION; SEQUENCES; CLOUDS; Geochemistry & Geophysics; Meteorology & Atmospheric Sciences

Abstract

The multifractal properties of the daily solar X-ray brightness, X-l and X-s, 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.

Journal Title

Nonlinear Processes in Geophysics

Volume

19

Issue/Number

6

Publication Date

1-1-2012

Document Type

Article

Language

English

First Page

657

Last Page

665

WOS Identifier

WOS:000312697900008

ISSN

1023-5809

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