On the dimension of solar attractor

Details On the dimension of solar attractor On the dimension of solar attractor

Jun 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990soph..127..405o&link_type=abstract

(Sun in Time Conference, Tucson, AZ, Mar. 6-10, 1989) Solar Physics (ISSN 0038-0938), vol. 127, June 1990, p. 405-412.

Mathematics

Dynamical Systems

25

Solar Activity, Strange Attractors, Dynamical Systems, Kolmogoroff Theory, Nonlinear Systems, Stochastic Processes, Sunspots

Scientific paper

Analyzing the average over a year (1) and over a month (2) of Wolf numbers and radiocarbon data (3), the following dimensions (d) of the solar attractor were obtained: 3.3 (1), 4.3 (2), 4.7 (3). During the Maunder minimum such a dimension turns out to be significantly higher: 8.0 (3); whereas during the period of a phase catastrophe (1792-1828) Wolf numbers averaged over a month yield d = 3.0 (2). In addition, the sensitivity of the inferences to the number of available experimental points was also investigated. Positive values of the Kolmogorov entropy and first Lyapunov exponent explicitly show the stochastic behavior of the sun.

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