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Calculation of a lower/upper branch pair of equilibrium solutions to plane Couette flow.
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Identification and numerical study of organized dynamics in lowReynolds plane
Couette flow in small aspect ratio cells.
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structures in plane shear flows," Phys. Fluids 15 (2003).
Exact numerical solutions to plane Couette flow with a variety
of boundary conditions. Waleffe lower branch and upper branch
solutions served as the starting point of our investigation.
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embedded in Plane Couette turbulence: regeneration cycle and burst,"
J. Fluid Mech. 449, 291 (2001). The first determination
of unstable timeperiodic solutions in a fullyresolved NavierStokes flow.
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Couette turbulence," J. Fluid Mech. 580 (2007)
[arXiv:physics/0604062].
A novel combination of the Newtonhookstep trustregion
minimization algorithm with the GMRES algorithm for iterative solution of
highdimensional linear algebra problems. First computation of relative periodic orbits of plane Couette flow.

J. F. Gibson, J. Halcrow and P. Cvitanović,
"Visualizing the geometry of state space in plane Couette flow,"
J. Fluid Mech. 611, 107 (2008)
[arXiv:0705.3957].
A technical exposition of the material presented in this tutorial.

J. F. Gibson, J. Halcrow and P. Cvitanović,
"Equilibrium and travelingwave solutions of plane Couette flow,"
J. Fluid Mech. 638, 243 (2009)
[arXiv:0808.3375].

J. Halcrow, J.F. Gibson, P. Cvitanović and D. Viswanath,
"Heteroclinic connections in plane Couette flow;"
J. Fluid Mech. 621, 365 (2009);
[arXiv:0808.1865].

T. Itano and S.C. Generalis,
"Hairpin vortex solution in planar Couette flow:
A tapestry of knotted vortices;" Phys. Rev. Lett. 102, 114501 (2009).
Independent discovery of the EQ8 solution.
