Bewley, T. R.
2014
Numerical Renaissance: Simulation, Optimisation and Control. Renaissance Press.

Cantwell, B. J.
1981
Organized motion in turbulent flow. Annu. Rev. Fluid. Mech.
13, 457–515.

Cassinelli, A., de Giovanetti, M. & Hwang, Y.
2017
Streak instability in near-wall turbulence revisited. J. Turbul.
18 (5), 443–464.

Choi, H., Moin, P. & Kim, J.
1994
Active turbulence control for drag reduction in wall-bounded flows. J. Fluid Mech.
262, 75–110.

Chung, Y. M. & Talha, T.
2011
Effectiveness of active flow control for turbulent skin friction drag reduction. Phys. Fluids
23, 025102.

Eckhardt, B., Schneider, T. M., Hof, B. & Westerweel, J.
2007
Turbulence transition in pipe flow. Annu. Rev. Fluid. Mech.
39, 447–468.

Faisst, H. & Eckhardt, B.
2003
Traveling waves in pipe flow. Phys. Rev. Lett.
91, 224502.

Gibson, J. F., Halcrow, J. & Cvitanović, P.
2008
Visualizing the geometry of state space in plane Couette flow. J. Fluid Mech.
611, 107–130.

de Giovanetti, M., Hwang, Y. & Choi, H.
2016
Skin-friction generation by attached eddies in turbulent channel flow. J. Fluid Mech.
808, 511–538.

Halcrow, J., Gibson, J. F., Cvitanović, P. & Viswanath, D.
2009
Heteroclinic connections in plane Couette flow. J. Fluid Mech.
621, 365–376.

Hamilton, J. M., Kim, J. & Waleffe, F.
1995
Regeneration mechanisms of near-wall turbulence structures. J. Fluid Mech.
287, 317–348.

Hwang, Y.
2013
Near-wall turbulent fluctuations in the absence of wide outer motions. J. Fluid Mech.
723, 268–288.

Hwang, Y.
2015
Statistical structure of self-sustaining attached eddies in turbulent channel flow. J. Fluid Mech.
767, 254–289.

Hwang, Y. & Bengana, Y.
2016
Self-sustaining process of minimal attached eddies in turbulent channel flow. J. Fluid Mech.
795, 708–738.

Hwang, Y., Willis, A. P. & Cossu, C.
2016
Invariant solutions of minimal large-scale structures in turbulent channel flow for *Re*
_{𝜏} up to 1000. J. Fluid Mech.
802, R1.

Itano, T. & Toh, S.
2001
The dynamics of bursting process in wall turbulence. J. Phys. Soc. Japan
70, 703–716.

Jiménez, J. & Moin, P.
1991
Minimal flow unit in near-wall turbulence. J. Fluid Mech.
225, 213–240.

Kawahara, G.
2005
Laminarization of minimal plane Couette flow: going beyond the basin of attraction of turbulence. Phys. Fluids
17, 041702.

Kawahara, G. & Kida, S.
2001
Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst. J. Fluid Mech.
449, 291–300.

Kawahara, G., Uhlmann, M. & van Veen, L.
2012
The significance of simple invariant solutions in turbulent flows. Annu. Rev. Fluid. Mech.
44, 203–225.

Kim, J., Moin, P. & Moser, R.
1987
Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech.
177, 133–166.

Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W.
1967
The structure of turbulent boundary layers. J. Fluid Mech.
30, 741–773.

Kreilos, T. & Eckhardt, B.
2012
Periodic orbits near onset of chaos in plane Couette flow. Chaos
22 (4), 047505.

Kreilos, T., Veble, G., Schneider, T. M. & Eckhardt, B.
2013
Edge states for the turbulence transition in the asymptotic suction boundary layer. J. Fluid Mech.
726, 100–122.

Lessen, M., Sadler, S. G. & Liu, T. Y.
1968
Stability of pipe Poiseuille flow. Phys. Fluids
11, 1404–1409.

Li, W. & Graham, M. D.
2007
Polymer induced drag reduction in exact coherent structures of plane Poiseuille flow. Phys. Fluids
19, 083101.

Li, W., Xi, L. & Graham, M. D.
2006
Nonlinear travelling waves as a framework for understanding turbulent drag reduction. J. Fluid Mech.
565, 353–362.

Lim, J. & Kim, J.
2004
A singular value analysis of boundary layer control. Phys. Fluids
16, 1980.

Luhar, M., Sharma, A. S. & Mckeon, B. J.
2014
Opposition control within the resolvent analysis framework. J. Fluid Mech.
749, 597–626.

Nagata, M.
1990
Three-dimensional finite-amplitude solutions in plane Couette flow: bifurcation from infinity. J. Fluid Mech.
217, 519–527.

Neelavara, S. A., Duguet, Y. & Lusseyran, F.
2017
State space analysis of minimal channel flow. Fluid Dyn. Res.
49, 035511.

Orszag, S. A.
1971
Accurate solution of the Orr–Sommerfeld stability equation. J. Fluid Mech.
50, 689–703.

Park, J. S. & Graham, M. D.
2015
Exact coherent states and connections to turbulent dynamics in minimal channel flow. J. Fluid Mech.
782, 430–454.

Robinson, S. K.
1991
Coherent motions in the turburlent boundary layer. Annu. Rev. Fluid. Mech.
23, 601–639.

Romanov, V. A.
1973
Stability of plane-parallel Couette flow. Funct. Anal. & Applics.
7, 137–146.

Schneider, T. M., Eckhardt, B. & Yorke, J. A.
2007
Turbulence transition and the edge of chaos in pipe flow. Phys. Rev. Lett.
99, 034502.

Schneider, T. M., Gibson, J. F., Lagha, M., de Lillo, F. & Eckhardt, B.
2008
Laminar-turbulent boundary in plane Couette flow. Phys. Rev. E
78, 037301.

Schoppa, W. & Hussain, F.
2002
Coherent structure generation in near-wall turbulence. J. Fluid Mech.
453, 57–108.

Skufca, J. D., Yorke, J. A. & Eckhardt, B.
2006
Edge of chaos in a parallel shear flow. Phys. Rev. Lett.
96, 174101.

Stone, P. A., Waleffe, F. & Graham, M. D.
2002
Toward a structural understanding of turbulent drag reduction: nonlinear coherent states in viscoelastic shear flows. Phys. Rev. Lett.
89, 208301.

Viswanath, D.
2007
Recurrent motions within plane Couette turbulence. J. Fluid Mech.
580, 339–358.

Viswanath, D.
2009
The critical layeer in pipe flow at high Reynolds number. Phil. Trans. R. Soc. Lond. A
367, 561–576.

Waleffe, F.
1997
On a self-sustaining process in shear flows. Phys. Fluids
9, 883–900.

Waleffe, F.
1998
Three-dimensional coherent states in plane shear flows. Phys. Rev. Lett.
81, 4140.

Waleffe, F.
2001
Exact coherent structures in channel flow. J. Fluid Mech.
435, 93–102.

Waleffe, F.
2003
Homotopy of exact coherent structures in plane shear flows. Phys. Fluids
15, 1517–1534.

Wang, J., Gibson, J. & Waleffe, F.
2007
Lower branch coherent states in shear flows: transition and control. Phys. Rev. Lett.
98, 204501.

Wedin, H. & Kerswell, R. R.
2004
Exact coherent structures in pipe flow: travelling wave solutions. J. Fluid Mech.
508, 333–371.

Willis, A. P., Cvitanović, P. & Avila, M.
2013
Revealing the state space of turbulent pipe flow by symmetry reduction. J. Fluid Mech.
721, 514–540.

Xi, L. & Bai, X.
2016
Marginal turbulent state of viscoelastic fluids: a polymer drag reduction perspective. Phys. Rev. E
93, 043118.

Xi, L. & Graham, M. D.
2012
Dynamics on the laminar-turbulent boundary and the origin of the maximum drag reduction asymptote. Phys. Rev. Lett.
108, 028301.

Zammert, S. & Eckhardt, B.
2014
Periodically bursting edge states in plane Poiseuille flow. Fluid Dyn. Res.
46, 041419.