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Diffusion and Generation of Non-Gaussianity in Chaotic Discrete Dynamics

  • H. Fujisaka
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 24)

Abstract

In this contribution we discuss the long-time dynamics of Yt [1–4] governed by
$${Y_{t + 1}}\, = \,{Y_t}\, + \,\Delta ({x_t})\,,\,(t = 0,1,2, \cdots )\,,\,{Y_0} = 0$$
(1.1)
where Δ is a certain steady stochastic variable generated by a chaotic variable xt obeying a one-dimensional map
$${X_{t + 1}}\, = \,f({x_t})\,,\,(0\, \leqslant \,{x_t}\, < \,1\,).$$
(1.2)

Keywords

Central Limit Theorem Gaussian Approximation Phase Point Gaussian Form Isotropic Homogeneous Turbulence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • H. Fujisaka
    • 1
  1. 1.Department of PhysicsKagoshima UniversityKagoshimaJapan

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