Periodicity in a Class of Systems of Delay Difference Equations
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,...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/735825 |
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| _version_ | 1850159768431230976 |
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| author | Zhijian Wei |
| author_facet | Zhijian Wei |
| author_sort | Zhijian Wei |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b2e68a348e4b4f30a8c44fa1cd23b57c |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b2e68a348e4b4f30a8c44fa1cd23b57c2025-08-20T02:23:24ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/735825735825Periodicity in a Class of Systems of Delay Difference EquationsZhijian Wei0College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, ChinaWe 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.http://dx.doi.org/10.1155/2011/735825 |
| spellingShingle | Zhijian Wei Periodicity in a Class of Systems of Delay Difference Equations Journal of Applied Mathematics |
| title | Periodicity in a Class of Systems of Delay Difference Equations |
| title_full | Periodicity in a Class of Systems of Delay Difference Equations |
| title_fullStr | Periodicity in a Class of Systems of Delay Difference Equations |
| title_full_unstemmed | Periodicity in a Class of Systems of Delay Difference Equations |
| title_short | Periodicity in a Class of Systems of Delay Difference Equations |
| title_sort | periodicity in a class of systems of delay difference equations |
| url | http://dx.doi.org/10.1155/2011/735825 |
| work_keys_str_mv | AT zhijianwei periodicityinaclassofsystemsofdelaydifferenceequations |