dorsal/arxiv
View SchemaMultifractal Detrended Fluctuation Analysis of Sunspot Time Series
| Authors | M. Sadegh Movahed, G. R. Jafari, F. Ghasemi, Sohrab Rahvar, M. Reza Rahimi Tabar |
|---|---|
| Categories | |
| ArXiv ID | physics/0508149 |
| URL | https://arxiv.org/abs/physics/0508149 |
| DOI | 10.1088/1742-5468/2006/02/P02003 |
| Journal | J.Stat.Mech.0602:P02003,2006 |
Abstract
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.
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"abstract": "We use multifractal detrended fluctuation analysis (MF-DFA), to See query 1\nstudy sunspot number fluctuations. The result of the MF-DFA shows that there\nare three crossover timescales in the fluctuation function. We discuss how the\nexistence of the crossover timescales is related to a sinusoidal trend. Using\nFourier detrended fluctuation analysis, the sinusoidal trend is eliminated. The\nHurst exponent of the time series without the sinusoidal trend is $0.12\\pm\n0.01$. Also we find that these fluctuations have multifractal nature. Comparing\nthe MF-DFA results for the remaining data set to those for shuffled and\nsurrogate series, we conclude that its multifractal nature is almost entirely\ndue to long range correlations.",
"arxiv_id": "physics/0508149",
"authors": [
"M. Sadegh Movahed",
"G. R. Jafari",
"F. Ghasemi",
"Sohrab Rahvar",
"M. Reza Rahimi Tabar"
],
"categories": [
"physics.data-an",
"astro-ph"
],
"doi": "10.1088/1742-5468/2006/02/P02003",
"journal_ref": "J.Stat.Mech.0602:P02003,2006",
"title": "Multifractal Detrended Fluctuation Analysis of Sunspot Time Series",
"url": "https://arxiv.org/abs/physics/0508149"
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