Turbulence without strange attractor
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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 wordsChaos fractal dimensions intermittency Navier-Stokes equation pipe flow strange attractor turbulence
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