Controlling neural clustering using delayed inputs*

Coupled Hodgkin-Huxley neurons are considered when finite-speed signal propagation introduces time delays into the coupling. Bifurcations of the fully synchronous and partially synchronized cluster states are studied by varying the coupling delay. Based on these investigations a controller is constructed that uses delayed inputs to destroy full synchrony and stabilize clustering. A generalization of such a controller may be useful to drive neural systems away from pathological synchronous states associated with Parkinson's disease.