Low-dimensional chaos in a hydrodynamic system

Details Low-dimensional chaos in a hydrodynamic system Low-dimensional chaos in a hydrodynamic system

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983phrvl..51.1442b&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 51, Oct. 17, 1983, p. 1442-1445.

Statistics

155

Chaos, Couette Flow, Stochastic Processes, Strange Attractors, Taylor Instability, Turbulent Flow, Concentric Cylinders, Dimensional Analysis, Entropy (Statistics), Liapunov Functions, Transition Flow

Scientific paper

Evidence is presented for low-dimensional strange attractors in Couette-Taylor flow data. Computations of the largest Lyapunov exponent and metric entropy show that the system displays sensitive dependence on initial conditions. Although the phase space is very high dimensional, analysis of experimental data shows that motion is restricted to an attractor of dimension 5 for Reynolds numbers up to 30 percent above the onset of chaos. The Lyapunov exponent, entropy, and dimension all generally increase with Reynolds number.

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