Cellular neural networks: Space-dependent template, mosaic patterns and spatial chaos
| dc.citation.epage | 1730 | en_US |
| dc.citation.issue | 8 | en_US |
| dc.citation.spage | 1717 | en_US |
| dc.citation.volume | 12 | en_US |
| dc.citation.woscount | 4 | |
| dc.contributor.author | Juang, J | en_US |
| dc.contributor.author | Shieh, SF | en_US |
| dc.contributor.author | Turyn, L | en_US |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2014-12-08T15:42:10Z | |
| dc.date.available | 2014-12-08T15:42:10Z | |
| dc.date.issued | 2002-08-01 | en_US |
| dc.description.abstract | We consider a Cellular Neural Network (CNN) with a bias term in the integer lattice Z(2) on the plane Z(2). We impose a space-dependent coupling (template) appropriate for CNN in the hexagonal lattice on Z(2). Stable mosaic patterns of such CNN are completely characterized. The spatial entropy of a (p(1), p(2))-translation invariant set is proved to be well-defined and exists. Using such a theorem, we are also able to address the complexities of resulting mosaic patterns. | en_US |
| dc.identifier.doi | 10.1142/S0218127402005510 | en_US |
| dc.identifier.issn | 0218-1274 | en_US |
| dc.identifier.journal | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | en_US |
| dc.identifier.uri | http://dx.doi.org/10.1142/S0218127402005510 | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/28656 | |
| dc.identifier.wosnumber | WOS:000178361400003 | |
| dc.language.iso | en_US | en_US |
| dc.subject | cellular neural networks | en_US |
| dc.subject | space-dependent template | en_US |
| dc.subject | spatial chaos | en_US |
| dc.title | Cellular neural networks: Space-dependent template, mosaic patterns and spatial chaos | en_US |
| dc.type | Article | en_US |