An Analytical Study of One-Dimensional Projection for the Self-Affine Fractal of Two-Dimensional Phase Space

  • In this paper, one-dimensional projection of two-dimensional self-affine phase space which has three kinds self-affine fractal are analytically studied. A one-dimensional projection α-model corresponding to different fractal is obtained.Using this model, the one-dimensional 2, 3 moments of normalized probability and correlation moments are calculated analytically. The results are cosistent with the experimental results. The dependence of the moments of normalized probability and correlation moments on fractal forms of phase space is obtained simultaneously.
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Lin Hai and Liu Lianshou. An Analytical Study of One-Dimensional Projection for the Self-Affine Fractal of Two-Dimensional Phase Space[J]. Chinese Physics C, 1996, 20(7): 625-634.
Lin Hai and Liu Lianshou. An Analytical Study of One-Dimensional Projection for the Self-Affine Fractal of Two-Dimensional Phase Space[J]. Chinese Physics C, 1996, 20(7): 625-634. shu
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Received: 1900-01-01
Revised: 1900-01-01
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An Analytical Study of One-Dimensional Projection for the Self-Affine Fractal of Two-Dimensional Phase Space

    Corresponding author: Lin Hai,
  • Physics Department, Yanbei Teacher's College, Datong, 0370002 Institute of Particle Physics, Huazhong Normal University, Wuhan, 430070

Abstract: In this paper, one-dimensional projection of two-dimensional self-affine phase space which has three kinds self-affine fractal are analytically studied. A one-dimensional projection α-model corresponding to different fractal is obtained.Using this model, the one-dimensional 2, 3 moments of normalized probability and correlation moments are calculated analytically. The results are cosistent with the experimental results. The dependence of the moments of normalized probability and correlation moments on fractal forms of phase space is obtained simultaneously.

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