Physics – Data Analysis – Statistics and Probability
Scientific paper
2005-08-20
J.Stat.Mech.0602:P02003,2006
Physics
Data Analysis, Statistics and Probability
9 pages, 6 figures
Scientific paper
10.1088/1742-5468/2006/02/P02003
We use multifractal detrended fluctuation analysis (MF-DFA), to See query 1 study sunspot number fluctuations. The result of the MF-DFA shows that there are three crossover timescales in the fluctuation function. We discuss how the existence of the crossover timescales is related to a sinusoidal trend. Using Fourier detrended fluctuation analysis, the sinusoidal trend is eliminated. The Hurst exponent of the time series without the sinusoidal trend is $0.12\pm 0.01$. Also we find that these fluctuations have multifractal nature. Comparing the MF-DFA results for the remaining data set to those for shuffled and surrogate series, we conclude that its multifractal nature is almost entirely due to long range correlations.
Ghasemi Fatemeh
Jafari G. R.
Movahed Sadegh M.
Rahimi Tabar Reza M.
Rahvar Sohrab
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