Chaos control applied to coherent states in transitional flows

Abstract

Chaos control refers to a group of techniques by which an otherwise unstable dynamical state of a system can be maintained by small control forces. We here discuss their application to stabilizing the fixed points in a low dimensional model for shear flows. The simulations demonstrate a prototypical application of chaos control, show that control is almost always possible, and give insights into optimizing the control matrix from a design point of view.