Low-dimensional chaos in a hydrodynamic system

Journal Article · Mon Oct 17 04:00:00 UTC 1983 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.51.1442· OSTI ID:5526551

Brandstater, A; Swift, J; Swinney, H L; Wolf, A; Farmer, J D; Jen, E; Crutchfield, J P

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 less than 5 for Reynolds numbers up to 30% above the onset of chaos. The Lyapunov exponent, entropy, and dimension all generally increase with Reynolds number.

• Research Organization: Department of Physics, University of Texas, Austin, Texas 78712
• OSTI ID: 5526551
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 51:16; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

640420* -- Fluid Physics-- Properties & Structure of Fluids-- (-1987)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANNULAR SPACE
CONFIGURATION
COUETTE FLOW
CYLINDERS
ENTROPY
FLUID FLOW
INSTABILITY
LYAPUNOV METHOD
PHYSICAL PROPERTIES
RAYLEIGH-TAYLOR INSTABILITY
REYNOLDS NUMBER
SPACE
THERMODYNAMIC PROPERTIES
TURBULENCE
VISCOUS FLOW