Abstract
We examine the nonlinear dynamical properties of the monthly smoothed group sunspot number R-g and find that the solar activity underlying the time series of R-g, is globally governed by a low-dimensional chaotic attractor. This finding is consistent with the nonlinear; study results of the monthly Wolf sunspot numbers. We estimate the maximal Lyaponuv exponent (MLE) for the R-g series to be positive and to equal approximately 0.0187 +/- 0.0023 (month(-1)). Thus, the Lyaponuv time or predictability time of the chaotic motion is obtained to be about 4.46 +/- 0.5 years, which is slightly different with the predictability time obtained from R-z. However, they both indicate that solar activity forecast should be,done only for,a short to medium term due to the intrinsic complexity of the time behavior concerned.
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