Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ban, Jung-Chao | en_US |
dc.contributor.author | Chang, Chih-Hung | en_US |
dc.contributor.author | Lin, Song-Sun | en_US |
dc.date.accessioned | 2014-12-08T15:21:47Z | - |
dc.date.available | 2014-12-08T15:21:47Z | - |
dc.date.issued | 2012-04-15 | en_US |
dc.identifier.issn | 0022-0396 | en_US |
dc.identifier.uri | http://dx.doi.org/10.1016/j.jde.2012.01.006 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/15527 | - |
dc.description.abstract | Let Y subset of {-1, 1}(Z infinity xn) 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. (C) 2012 Elsevier Inc. All rights reserved. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | Sofic shift | en_US |
dc.subject | Strong shift equivalence | en_US |
dc.subject | Shift equivalence | en_US |
dc.subject | Finite equivalence | en_US |
dc.subject | Dimension group | en_US |
dc.title | On the structure of multi-layer cellular neural networks | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1016/j.jde.2012.01.006 | en_US |
dc.identifier.journal | JOURNAL OF DIFFERENTIAL EQUATIONS | en_US |
dc.citation.volume | 252 | en_US |
dc.citation.issue | 8 | en_US |
dc.citation.spage | 4563 | en_US |
dc.citation.epage | 4597 | en_US |
dc.contributor.department | 應用數學系 | zh_TW |
dc.contributor.department | Department of Applied Mathematics | en_US |
dc.identifier.wosnumber | WOS:000300861300009 | - |
dc.citation.woscount | 5 | - |
Appears in Collections: | Articles |
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