Are attractors relevant to turbulence?

Details Are attractors relevant to turbulence? Are attractors relevant to turbulence?

Jun 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvl..60.2715c&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 60, June 27, 1988, p. 2715-2718.

Mathematics

Probability

132

Statistical Analysis, Strange Attractors, Turbulent Flow, Chaos, Complexity, Probability Theory, Systems Analysis, Transient Response

Scientific paper

The statistical hypothesis underlying the 'strange attractor' explanation of fluid turbulence is suspect. Spatially extended systems generically exhibit long transients that preclude observation of the behavior governed by the asymptotic invariant measure. Even if the local dynamics is periodic, when it is coupled into a spatial system complex 'turbulent' behavior can exist for times that grow faster than exponentially with increasing system volume. The nature of the attractor is irrelevant to the observed behavior when such systems are of even moderate size.

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