Deterministic chaos control in neural networks on various topologies

Abstract.Using numerical simulations, we study the control of deterministic chaos in neural networks on various topologies like Voronoi-Delaunay, Barabási-Albert, Small-World networks and Erdös-Rényi random graphs by “pinning” the state of a “special” neuron. We show that the chaotic activity of the networks or graphs, when control is on, can become constant or periodic.