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Control of chaos in delay differential equations, in a network of oscillators and in model cortex

par Babloyantz, Agnessa ;Lourenço, Carlos E.R.D.S. ;Sepulchre, Jacques
Référence Physica. D, 86, 1-2, page (274-283)
Publication Publié, 1995-09

Article révisé par les pairs

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Résumé :

We extend the Ott-Grebogi-Yorke method to the stabilization of unstable 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 delay differential equation and in a model cortical network with delay. We discuss the relevance of these results in the physiological processes of the brain. © 1995.