Periodicity in a Class of Systems of Delay Difference Equations

Zhijian Wei

Journal of Applied Mathematics, 2011, vol. 2011, 1-11

Abstract:

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:735825

DOI: 10.1155/2011/735825

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