Influence of Noise, Variability, and Time-Delayed Feedback on Networks: Dynamics of Neural Networks

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EAN/UPC/ISBN Code 9783838107875


Influence of Noise, Variability, and Time-Delayed Feedback on Networks In this thesis, the influence of noise, variability, and time-delayed feedback on the dynamics of nets of neural elements is investigated. The dynamics of the single elements is given by the FitzHugh-Nagumo, the Hodgkin-Huxley, or the reduced Hodgkin-Huxley equations. After some theoretical basics, the results are presented. For oscillatory nets, it is shown that time-delayed feedback can suppress oscillations and thereby excitable net dynamics is induced. In subexcitable nets, time-delayed feedback can support the propagation of wave fronts and thereby pattern formation. This effect is studied in detail for wave fronts, which are either induced by special i...