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Multistability and new attraction basins of almost-periodic solutions of delayed neural networks
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Wang, Lili, Lu, Wenlian and Chen, Tianping (2009) Multistability and new attraction basins of almost-periodic solutions of delayed neural networks. IEEE Transactions on Neural Networks, 20 (10). pp. 1581-1593. doi:10.1109/TNN.2009.2027121 ISSN 1045-9227.
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Official URL: http://dx.doi.org/10.1109/TNN.2009.2027121
Abstract
In this paper, we investigate multistability of almost-periodic solutions of recurrently connected neural networks with delays (simply called delayed neural networks). We will reveal that under some conditions, the space Rn can be divided into 2n subsets, and in each subset, the delayed n -neuron neural network has a locally stable almost-periodic solution. Furthermore, we also investigate the attraction basins of these almost-periodic solutions. We reveal that the attraction basin of almost-periodic trajectory is larger than the subset, where the corresponding almost-periodic trajectory is located. In addition, several numerical simulations are presented to corroborate the theoretical results.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||
Journal or Publication Title: | IEEE Transactions on Neural Networks | ||||
Publisher: | IEEE | ||||
ISSN: | 1045-9227 | ||||
Official Date: | October 2009 | ||||
Dates: |
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Volume: | 20 | ||||
Number: | 10 | ||||
Page Range: | pp. 1581-1593 | ||||
DOI: | 10.1109/TNN.2009.2027121 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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