Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/130200
DC Field | Value | Language |
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dc.contributor | 應數系 | - |
dc.creator | 班榮超 | - |
dc.creator | Ban, Jung-Chao | - |
dc.creator | Chang, Chih-Hung | - |
dc.creator | Lin, Song-Sun | - |
dc.date | 2012-04 | - |
dc.date.accessioned | 2020-06-22T05:42:34Z | - |
dc.date.available | 2020-06-22T05:42:34Z | - |
dc.date.issued | 2020-06-22T05:42:34Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/130200 | - |
dc.description.abstract | Let Y ⊆ {−1, 1}Z∞×n be the mosaic solution space of an n-layer cellular neural network. We decouple Y into n subspaces, say Y (1) , Y (2) ,..., Y (n) , and give a necessary and sufficient condition for the existence of factor maps between them. In such a case, Y (i) is a sofic shift for 1 i n. This investigation is equivalent to study the existence of factor maps between two sofic shifts. Moreover, we investigate whether Y (i) and Y (j) are topological conjugate, strongly shift equivalent, shift equivalent, or finitely equivalent via the well-developed theory in symbolic dynamical systems. This clarifies, in a multi-layer cellular neural network, each layer’s structure. As an extension, we can decouple Y into arbitrary k-subspaces, where 2 k n, and demonstrates each subspace’s structure. | - |
dc.format.extent | 490494 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.relation | Journal of Differential Equations, Vol.252, No.8, pp.4563-4597 | - |
dc.subject | Sofic shift ; Strong shift equivalence ; Shift equivalence ; Finite equivalence ; Dimension group | - |
dc.title | On the structure of multi-layer cellular neural networks | - |
dc.type | article | - |
dc.identifier.doi | 10.1016/j.jde.2012.01.006 | - |
dc.doi.uri | https://doi.org/10.1016/j.jde.2012.01.006 | - |
item.grantfulltext | restricted | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | With Fulltext | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
Appears in Collections: | 期刊論文 |
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