| dc.contributor | 應數系 | - |
| dc.creator (作者) | 班榮超 | - |
| dc.creator (作者) | Ban, Jung-Chao | - |
| dc.creator (作者) | Chang, Chih-Hung | - |
| dc.creator (作者) | Lin, Song-Sun | - |
| dc.date (日期) | 2012-04 | - |
| dc.date.accessioned | 22-Jun-2020 13:42:34 (UTC+8) | - |
| dc.date.available | 22-Jun-2020 13:42:34 (UTC+8) | - |
| dc.date.issued (上傳時間) | 22-Jun-2020 13:42:34 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/130200 | - |
| dc.description.abstract (摘要) | 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 (關聯) | Journal of Differential Equations, Vol.252, No.8, pp.4563-4597 | - |
| dc.subject (關鍵詞) | Sofic shift ; Strong shift equivalence ; Shift equivalence ; Finite equivalence ; Dimension group | - |
| dc.title (題名) | On the structure of multi-layer cellular neural networks | - |
| dc.type (資料類型) | article | - |
| dc.identifier.doi (DOI) | 10.1016/j.jde.2012.01.006 | - |
| dc.doi.uri (DOI) | https://doi.org/10.1016/j.jde.2012.01.006 | - |
