METHODS FOR CHAOTIC DYNAMICS IN THE PROBLEM OF ANALYSIS OF WOLFER'S TIME SERIES


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The results of computer studies of time series composed of the Wolfer's numbers are presented in the article. In accordance with the approach based on Takens's theorem, the author solves the problem of reconstructing dimension of attractor of a dynamical system describing the dynamics of the Sun. It is shown that for the last 3 000 years, fundamental changes in the evolution of the Sun have not happened.

参考

  1. Kennel M. B., Brown R., Abarbanel H. D. I. Determining embedding dimension for phase-space reconstruction using a geometrical construction // Phys. Rev. A. 1992. Vol. 45. № 6. P. 3403-3411.
  2. Grassberger P., Procaccia I. Measuring the strangeness of strange attractors // Physica D. 1983. Vol. 9. P. 189.
  3. An unusually active sun during recent decades compared to the previous 11 000 years / S. Solanki, I. Usoskin, B. Kromer et al. // Nature. 2004. Vol. 431. № 7012. P. 1084-1087.

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