Multistability in a Multidirectional Associative Memory Neural Network with Delays
This paper focuses on the multidirectional associative memory (MAM) neural networks with m fields which is more advanced to realize associative memory. Based on the Brouwer fixed point theorem and Dini upper right derivative, it is confirmed that the multidirectional associative memory neural networ...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/592056 |
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| _version_ | 1849435071161827328 |
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| author | Min Wang Tiejun Zhou |
| author_facet | Min Wang Tiejun Zhou |
| author_sort | Min Wang |
| collection | DOAJ |
| description | This paper focuses on the multidirectional associative memory (MAM) neural networks with m fields which is more advanced to realize associative memory. Based on the Brouwer fixed point theorem and Dini upper right derivative, it is confirmed that the multidirectional associative memory neural network can have equilibria and equilibria of them are stable, where l is a parameter associated with the number of neurons. Furthermore, an example is given to illustrate the effectiveness of the results. |
| format | Article |
| id | doaj-art-e4f1328ba23f4c4a90c6cdee8762eaba |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e4f1328ba23f4c4a90c6cdee8762eaba2025-08-20T03:26:25ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/592056592056Multistability in a Multidirectional Associative Memory Neural Network with DelaysMin Wang0Tiejun Zhou1College of Orient Science and Technology, Hunan Agricultural University, Changsha, Hunan 410128, ChinaCollege of Science, Hunan Agricultural University, Changsha, Hunan 410128, ChinaThis paper focuses on the multidirectional associative memory (MAM) neural networks with m fields which is more advanced to realize associative memory. Based on the Brouwer fixed point theorem and Dini upper right derivative, it is confirmed that the multidirectional associative memory neural network can have equilibria and equilibria of them are stable, where l is a parameter associated with the number of neurons. Furthermore, an example is given to illustrate the effectiveness of the results.http://dx.doi.org/10.1155/2013/592056 |
| spellingShingle | Min Wang Tiejun Zhou Multistability in a Multidirectional Associative Memory Neural Network with Delays Journal of Applied Mathematics |
| title | Multistability in a Multidirectional Associative Memory Neural Network with Delays |
| title_full | Multistability in a Multidirectional Associative Memory Neural Network with Delays |
| title_fullStr | Multistability in a Multidirectional Associative Memory Neural Network with Delays |
| title_full_unstemmed | Multistability in a Multidirectional Associative Memory Neural Network with Delays |
| title_short | Multistability in a Multidirectional Associative Memory Neural Network with Delays |
| title_sort | multistability in a multidirectional associative memory neural network with delays |
| url | http://dx.doi.org/10.1155/2013/592056 |
| work_keys_str_mv | AT minwang multistabilityinamultidirectionalassociativememoryneuralnetworkwithdelays AT tiejunzhou multistabilityinamultidirectionalassociativememoryneuralnetworkwithdelays |