Low-Dimensional Chaos in a Hydrodynamic System

A. Brandstäter, J. Swift, Harry L. Swinney, A. Wolf, J. Doyne Farmer, Erica Jen, and P. J. Crutchfield
Phys. Rev. Lett. 51, 1442 – Published 17 October 1983; Erratum Phys. Rev. Lett. 51, 1814 (1983)
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Abstract

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% above the onset of chaos. The Lyapunov exponent, entropy, and dimension all generally increase with Reynolds number.

  • Received 21 July 1983

DOI:https://doi.org/10.1103/PhysRevLett.51.1442

©1983 American Physical Society

Erratum

Low-Dimensional Chaos in a Hydrodynamic System

A. Brandstäter, J. Swift, Harry L. Swinney, A. Wolf, J. Doyne Farmer, Erica Jen, and J. P. Crutchfield
Phys. Rev. Lett. 51, 1814 (1983)

Authors & Affiliations

A. Brandstäter, J. Swift, Harry L. Swinney, and A. Wolf

  • Department of Physics, University of Texas, Austin, Texas 78712

J. Doyne Farmer and Erica Jen

  • Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

P. J. Crutchfield

  • Physics Department, University of California, Berkeley, Berkeley, California 94720

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Vol. 51, Iss. 16 — 17 October 1983

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