230 citations · 1.5k across the 33 of their papers we have counts for
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physics.flu-dyn2005
Turbulent-laminar patterns in plane Couette flow
Dwight Barkley, Laurette S. Tuckerman
Regular patterns of turbulent and laminar fluid motion arise in plane Couette flow near the lowest Reynolds number for which turbulence can be sustained. We study these patterns us…
nlin.PS2005★ 33 cited
Computation of Spiral Spectra
P. Wheeler, D. Barkley
A computational linear stability analysis of spiral waves in a reaction-diffusion equation is performed on large disks. As the disk radius R increases, eigenvalue spectra converge…
cond-mat.other2005
The Moment Map: Nonlinear dynamics of density evolution via a few moments
D. Barkley, I. G. Kevrekidis, A. M. Stuart
We explore situations in which certain stochastic and high-dimensional deterministic systems behave effectively as low-dimensional dynamical systems. We define and study moment map…