🚀 go-pugleaf

In article <1992Jul21.174653.28962@ucsu.Colorado.EDU> hatay@spot.Colorado.EDU (Ferhat F. Hatay) writes:
>Talking about the low-dimensional system: Can I bring the 
>work of Glauser and his coworkers to your attention?
>In this line of work, they use the Proper Orthogonal
>Decomposition idea of Lumley to turbulent flows. 
>POD modes are obtained either experimentally or numerically. 

>Does anyone think this kind of work might provide a 
>link between chaos and turbulence (in fluids) ?

Sure. M. Ghil and R. Vautard have worked out a similar kind of EOF which
is applied to climate forecasting (in particular the El Nino - Southern
Oscillation) I have no doubt that Ghil and his collaborators will have other
links in the literature by now.

It's hard to pass judgement on whether or not this kind of connection
'establishes' chaos in fluids, since EOF analysis is not predicated on
deterministic chaos. Neither are nearest neighbors techniques.

For those really resistant to the idea that chaos is relevant to fluids,
they should look at the kind of experiments A. Libchaber has done.

For those who want to insist that turbulence is 'nothing but' chaos, they
should look at experiments like H. Swinney has done.

As anyone in their right scientific mind would have guessed - a problem that
foxed Heisenberg, G.I. Taylor, Poincare, Landau and many others - is a problem
with more than a two line solution.

Later,
Andrew Mullhaupt
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