PINNING CONTROL OF SPATIOTEMPORAL CHAOS

Linear control theory is used to develop an improved localized control scheme for spatially extended chaotic systems, which is applied to a coupled map lattice as an example. The optimal arrangement of the cont rol sites is shown to depend on the symmetry properties of the system, while their minimal density depends on the strength of noise in the s ystem. The method is shown to work in any region of parameter space an d requires a significantly smaller number of controllers compared to t he method proposed earlier by Hu and Qu [Phys. Rev. Lett. 72, 68 (1994 )]. A nonlinear generalization of the method for a 1D lattice is also presented.