“School of Nano-Sciences”
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| Paper IPM / Nano-Sciences / 8239 |
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We use multifractal detrended fluctuation analysis (MF-DFA), to 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 � 0.01. Also we find that these fluctuations have multifractal nature. Comparing the MFDFA 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.
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