Many people have contributed to this effort; for a literature overview, see Gibson et al. Here we cite only a few articles that cover technical aspects of this tutorial.

  • M. Nagata, "Three-dimensional finite-amplitude solutions in plane Couette flow: bifurcation from infinity," J. Fluid Mech. 217 (1990). Calculation of a lower/upper branch pair of equilibrium solutions to plane Couette flow.

  • J. M. Hamilton, J. Kim and F. Waleffe, "Regeneration mechanisms of near-wall turbulence structures," J. Fluid Mech. 287 (1995). Identification and numerical study of organized dynamics in low-Reynolds plane Couette flow in small aspect ratio cells.

  • F. Waleffe, "Homotopy of exact coherent 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.

  • G. Kawahara and S. Kida, "Periodic motion embedded in Plane Couette turbulence: regeneration cycle and burst," J. Fluid Mech. 449, 291 (2001). The first determination of unstable time-periodic solutions in a fully-resolved Navier-Stokes flow.

  • D. Viswanath, "Recurrent motions within plane Couette turbulence," J. Fluid Mech. 580 (2007) [arXiv:physics/0604062]. A novel combination of the Newton-hookstep trust-region minimization algorithm with the GMRES algorithm for iterative solution of high-dimensional 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 traveling-wave 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.