Stabilization of exact coherent structures in two-dimensional turbulence using time-delayed feedback

Nonlinear travelling waves and equilibria are stabilized from two-dimensional Navier-Stokes turbulence using time-delayed feedback. This is achieved by time-stepping a modified set of equations and, as such, avoids performing costly root-finding iterations. Using underlying symmetries enables the stabilization of several solutions, some at high Reynolds number. No other special properties of the solution need to be known in advance.