Abstract
The stability of the null solution in a system of coupled cells is investigated. Each cell evolves according to Hopfield's equation for an analog circuit, with a delay incorporated to account for finite switching speed of amplifiers. A necessary and sufficient condition on the connection matrix is obtained for delay-induced oscillations to be possible in a general (not necessarily symmetric) network.
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Bélair, J. Stability in a model of a delayed neural network. J Dyn Diff Equat 5, 607–623 (1993). https://doi.org/10.1007/BF01049141
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DOI: https://doi.org/10.1007/BF01049141