Integrate and fire neural networks, piecewise contractive maps and limit cycles (Q365684)
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scientific article; zbMATH DE number 6206988
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integrate and fire neural networks, piecewise contractive maps and limit cycles |
scientific article; zbMATH DE number 6206988 |
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Integrate and fire neural networks, piecewise contractive maps and limit cycles (English)
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9 September 2013
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The authors consider an arbitrary network of identical leaky integrate-and-fire model neurons, coupled instantaneously through excitation and inhibition. Their aim is to provide a global analysis of the asymptotic behaviour of all solutions. The main results follow from the analysis of a discrete-time map defined on a Poincaré section. Their results are roughly as follows: under certain hypotheses, either the network will synchronise in finite time, or the only attractors are a countable number of limit cycles.
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integrate and fire neural networks
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piecewise contractive maps
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limit cycles
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synchronization
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