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)


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


Central Limit Theorem Gaussian Approximation Phase Point Gaussian Form Isotropic Homogeneous Turbulence 
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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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