Time-delayed feedback in neurosystems

Details Time-delayed feedback in neurosystems Time-delayed feedback in neurosystems

2008-09-05

arxiv.org/abs/0809.1025v1

Nonlinear Sciences

Pattern Formation and Solitons

13 pages, 13 figures

Scientific paper

10.1098/rsta.2008.0258

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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