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arXiv · 0809.1025

Time-delayed feedback in neurosystems

E. Schoell·G. Hiller·P. Hoevel·M. A. Dahlem
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Abstract

The influence of time delay in systems of two coupled excitable neurons is studied in the framework of the FitzHugh-Nagumo model. Time-delay can occur in the coupling between neurons or in a self-feedback loop. The stochastic synchronization of instantaneously coupled neurons under the influence of white noise can be deliberately controlled by local time-delayed feedback. By appropriate choice of the delay time synchronization can be either enhanced or suppressed. In delay-coupled neurons, antiphase oscillations can be induced for sufficiently large delay and coupling strength. The additional application of time-delayed self-feedback leads to complex scenarios of synchronized in-phase or antiphase oscillations, bursting patterns, or amplitude death.

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E. Schoell, G. Hiller, P. Hoevel, M. A. Dahlem. 2008-09-05. Time-delayed feedback in neurosystems. https://doi.org/10.1098/rsta.2008.0258

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