PREPRINT

# Analysis of Sunspot Number Fluctuations

H. Fanchiotti, S. J. Sciutto, C. A. Garcia Canal, C. Hojvat
arXiv:nlin/0403032

Submitted on 16 March 2004

## Abstract

Monthly averages of the sunspot number visible on the sun, observed from 1749, Zurich Observatory, and from 1848 other observatories, have been analyzed. This time signal presents a frequency power spectra with a clear $1/{f}^{\alpha }$ behavior with $\alpha \simeq 0.8±0.2$. The well known cycle of approximately 11 years, clearly present in the spectrum, does not produce a sensible distortion of that behavior. The eventual characterization of the sunspot time series as a fractal is analyzed by means of the detrended fluctuation analysis. The jump size distribution of the signal is also studied.

## Preprint

Comment: To appear in "Fractals"

Subjects: Nonlinear Sciences - Adaptation and Self-Organizing Systems; Astrophysics; Condensed Matter - Statistical Mechanics