Periodicity in a Class of Systems of Delay Difference Equations

Zhijian Wei

Journal of Applied Mathematics, 2011, vol. 2011, issue 1

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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https://doi.org/10.1155/2011/735825

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2011:y:2011:i:1:n:735825

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