Periodicity in a class of systems of delay difference equations (Q410827)
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scientific article; zbMATH DE number 6021620
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodicity in a class of systems of delay difference equations |
scientific article; zbMATH DE number 6021620 |
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Periodicity in a class of systems of delay difference equations (English)
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4 April 2012
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Summary: We study a system of delay difference equations modeling four-dimensional discrete-time delayed neural networks with no internal decay. Such a discrete-time system can be regarded as the discrete analog of a differential equation with piecewise constant argument. By using semicycle analysis method, it is shown that every bounded solution of this discrete-time system is eventually periodic. The obtained results are new, and they complement previously known results.
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