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Authors
Orosz, Gábor; Moehlis, Jeff

Digital Object Identifier (DOI)
10.3182/20090901-3-RO-4009.00072

Page Numbers:
435-439

Index Terms
Hodgkin-Huxley model,signal transmission delay,bifurcation,event-based act-and-wait control

Abstract
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.

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