1997/04/18 by Armin Schmiegel, Bruno Eckhardt · 4 citations
Economics, Econometrics and Finance · Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Amplitude #Attractor #Chaotic #Classical mechanics #Complex Systems and Time Series Analysis #Couette flow #Flow (mathematics) #Fluid Dynamics and Turbulent Flows #Fractal #Geometry #Magnetic Reynolds number #Mathematical analysis #Mathematics #Mechanics #Perturbation (astronomy) #Physics #Plane (geometry) #Plant Water Relations and Carbon Dynamics #Quantum mechanics #Reynolds number #Turbulence #chao-dyn #nlin.CD
paper · pdf · doi:10.1103/physrevlett.79.5250
4 pages, Latex, 4 eps-figures, submitted to Phys. Rev. Let
arxiv created 1997/04/18 · openalex publication_date 1997/12/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the dynamics of localized perturbations in plane Couette flow with periodic lateral boundary conditions. For small Reynolds numbers and small amplitude of the initial state the perturbation decays on a viscous time scale t\ensuremath∝Re. For Reynolds number larger than about 200, chaotic transients appear with lifetimes longer than the viscous one. Depending on the type of the perturbation, isolated initial conditions with infinite lifetime appear for Reynolds numbers larger than about 270--305. In this third regime, the lifetime as a function of Reynolds number and amplitude is fractal. These results suggest that in the transition region the turbulent dynamics is characterized by a chaotic repeller rather than an attractor.