Journal of Statistical Physics

, Volume 55, Issue 5, pp 1303–1312

Turbulence without strange attractor

  • U. Brosa
Short Communications

DOI: 10.1007/BF01041090

Cite this article as:
Brosa, U. J Stat Phys (1989) 55: 1303. doi:10.1007/BF01041090


It is shown that pipe-flow turbulence consists of transients. The “fractal” dimensions of the dynamical process are thus all zero. Nevertheless, this is compatible with Grassberger-Procaccia analyses suggesting the existence of a high-dimensional strange attractor. The usefulness of the Grassberger-Procaccia method to detect the aging of transients is demonstrated.

Key words

Chaos fractal dimensions intermittency Navier-Stokes equation pipe flow strange attractor turbulence 

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • U. Brosa
    • 1
  1. 1.HLRZ c/o KFA Jülich GmbHJülichWest Germany