Low-Dimensional Chaos in a Hydrodynamic System

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.

Keywords

Lyapunov exponentAttractorReynolds numberPhase spacePhysicsStatistical physicsCorrelation dimensionComputationDimension (graph theory)Taylor–Couette flowClassical mechanicsFractal dimensionMathematical analysisMathematicsMechanicsFractalNonlinear systemTurbulenceQuantum mechanics

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Publication Info

Year: 1983
Type: article
Volume: 51
Issue: 16
Pages: 1442-1445
Citations: 310
Access: Closed

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APA Style

                            
                                
                                    A. Brandstäter, 
                                
                                    J. B. Swift, 
                                
                                    Harry L. Swinney
                                
                                et al.
                            
                            (1983). 
                            Low-Dimensional Chaos in a Hydrodynamic System. 
                            Physical Review Letters
                            , 51
                            (16)
                            , 1442-1445.
                            https://doi.org/10.1103/physrevlett.51.1442
                        

Identifiers

DOI: 10.1103/physrevlett.51.1442