Selection and stabilization of spatiotemporal patterns in two-dimensional coupled lattices

Abstract

A method for the stabilization and manipulation of stable and unstable spatiotemporal patterns of a coupled map lattice is presented. The selection of stable pattern states and the stabilization of unstable ones are achieved by using nonlinear feedback that contains the structural and dynamical information of the target patterns. The feedback vanishes once the spatiotemporal pattern is stabilized or selected.