M Sadegh Movahed et al J. Stat. Mech. (2006) P02003 doi:10.1088/1742-5468/2006/02/P02003
Multifractal detrended fluctuation analysis of sunspot time series
M Sadegh Movahed1,2,3, G R Jafari2,4, F Ghasemi2, Sohrab Rahvar1,2 and M Reza Rahimi Tabar1,5
Show affiliationsWe 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 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.
- Keywords
- PACS
-
96.60.qd Sun spots, Solar cycles
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
- Subjects
- Dates
-
Issue 02 (February 2006)
Received 6 December 2005, accepted for publication 20 January 2006
Published 9 February 2006
An Erratum for this article has been published in J. Stat. Mech. (2011) E09001
-
Multifractal detrended fluctuation analysis of sunspot time series
M Sadegh Movahed et al J. Stat. Mech. (2006) P02003
-
Fluctuation dissipation relations far from equilibrium
Federico Corberi et al J. Stat. Mech. (2007) P07002
-
On the integrable structure of the Ising model
Alessandro Nigro J. Stat. Mech. (2008) P01017
-
Differential representation of arm movement direction in relation to cortical anatomy and function
Tonio Ball et al 2009 J. Neural Eng. 6 016006
-
Assessing the efficacy of visual prostheses by decoding ms-LFPs: application to retinal implants
N P Cottaris and S D Elfar 2009 J. Neural Eng. 6 026007
-
Amorphous packings of hard spheres for large space dimension
Giorgio Parisi and Francesco Zamponi J. Stat. Mech. (2006) P03017
-
Tightness for the minimal displacement of branching random walk
Maury Bramson and Ofer Zeitouni J. Stat. Mech. (2007) P07010
-
On
, 
, 
, 
, 
, 
, and 
reflection K-matrices
R Malara and A Lima-Santos J. Stat. Mech. (2006) P09013
-
Quantum impurity entanglement
Erik S Sørensen et al J. Stat. Mech. (2007) P08003
-
Long-range
integrable spin chains and plane-wave matrix theory
N Beisert and T Klose J. Stat. Mech. (2006) P07006