Oscillations in a refractory neural net |
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Authors: | Curtu R Ermentrout B |
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Affiliation: | (1) Department of Mathematics, University of Pittsburgh, Pittsburgh PA 15260, USA. e-mail: bard@pitt.edu, US |
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Abstract: | A functional differential equation that arises from the classic theory of neural networks is considered. As the length of the absolute refractory period is varied, there is, as shown here, a super-critical Hopf bifurcation. As the ratio of the refractory period to the time constant of the network increases, a novel relaxation oscillation occurs. Some approximations are made and the period of this oscillation is computed. |
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Keywords: | or phrases: Delay equations – Hopf bifurcation – Neural networks – Relaxation oscillation |
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