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Turbulence without strange attractor

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Abstract

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.

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Brosa, U. Turbulence without strange attractor. J Stat Phys 55, 1303–1312 (1989). https://doi.org/10.1007/BF01041090

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