CONTROL OF CHAOS IN DELAY-DIFFERENTIAL EQUATIONS, IN A NETWORK OF OSCILLATORS AND IN MODEL CORTEX

We extend the Ott-Grebogi-Yorke method to the stabilization of unstabl e orbits in a network of oscillators exhibiting spatiotemporal chaotic activity, wherein the perturbation is applied to the variables of the system. With the help of numerical simulations we show that a method developed by Pyragas can stabilize unstable orbits in a one variable d elay differential equation and in a model cortical network with delay. We discuss the relevance of these results in the physiological proces ses of the brain.