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On the dimension of solar attractor

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Abstract

Analyzing the average over a year (a) and over a month (b) of Wolf numbers and radiocarbon data (c), we have obtained the dimensions d of the solar attractor which are: 3.3 (a), 4.3 (b), 4.7 (c). During the Maunder minimum such a dimension turns out to be significantly higher: 8.0 (c); whereas during the period of a phase catastrophe (1792–1828) Wolf numbers averaged over a month yield d = 3.0 (b). We have also investigated the sensitivity of our inferences to the number of available experimental points. Positive values of the Kolmogorov entropy and first Lyapunov exponent explicitly show the stochastic behaviour of the Sun.

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Authors and Affiliations

  1. A. F. Ioffe Physico-Technical Institute of the Academy of Science of the USSR, Leningrad, U.S.S.R.

    V. M. Ostryakov & I. G. Usoskin

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  1. V. M. Ostryakov
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  2. I. G. Usoskin
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Ostryakov, V.M., Usoskin, I.G. On the dimension of solar attractor. Sol Phys 127, 405–412 (1990). https://doi.org/10.1007/BF00152177

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  • DOI: https://doi.org/10.1007/BF00152177

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