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.date (日期) | 2009-11 | - |
dc.date.accessioned | 22-Jun-2020 13:42:07 (UTC+8) | - |
dc.date.available | 22-Jun-2020 13:42:07 (UTC+8) | - |
dc.date.issued (上傳時間) | 22-Jun-2020 13:42:07 (UTC+8) | - |
dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/130198 | - |
dc.description.abstract (摘要) | This work investigates the monotonicity of topological entropy for one-dimensional multilayer cellular neural networks. The interacting radius and number of layers are treated as parameters. Fix either one of them; the set of topological entropies grows as a strictly nested sequence with respect to one another. Apart from the comparison of the set of topological entropies, maximal and minimal templates are indicators of a dynamical system. Our results demonstrate that maximal and minimal templates of larger interacting radius (respectively number of layers) dominate those of smaller one. To be precise, the strict monotonicity of topological entropy is demonstrated through the comparison of the maximal and minimal templates as the parameters are varied. | - |
dc.format.extent | 322991 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.relation (關聯) | International Journal of Bifurcation and Chaos, Vol.19, No.11, pp.3657-3670 | - |
dc.subject (關鍵詞) | Cellular neural networks ; sofic shift ; topological entropy ; forcing relation ; maximaltemplate ; minimal template | - |
dc.title (題名) | On the monotonicity of entropy for multilayer cellular neural networks | - |
dc.type (資料類型) | article | - |
dc.identifier.doi (DOI) | 10.1142/S0218127409025043 | - |
dc.doi.uri (DOI) | https://doi.org/10.1142/S0218127409025043 | - |