179 citations · 394 across the 4 of their papers we have counts for
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Unstable periodic orbits and heteroclinic connections in plane Couette flow
John F. Gibson, Predrag Cvitanovic
Equilibrium, traveling wave, and periodic orbit solutions of pipe, channel, and plane Couette flows can now be computed precisely at Reynolds numbers above the onset of turbulence.…
Heteroclinic connections in plane Couette flow
Jonathan Halcrow, John F. Gibson, Predrag Cvitanović +1
Plane Couette flow transitions to turbulence for Re~325 even though the laminar solution with a linear profile is linearly stable for all Re (Reynolds number). One starting point f…
Laminar-turbulent boundary in plane Couette flow
Tobias M Schneider, John F Gibson, Maher Lagha +2
We apply the iterated edge state tracking algorithm to study the boundary between laminar and turbulent dynamics in plane Couette flow at Re=400. Perturbations that are not strong…
Lower branch coherent states in shear flows: transition and control
Jue Wang, John Gibson, Fabian Waleffe
Lower branch coherent states in plane Couette flow have an asymptotic structure that consists of O(1) streaks, streamwise rolls and a weak sinusoidal wave that develops…