| 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) | 2016-03 | |
| dc.date.accessioned | 27-May-2020 09:02:17 (UTC+8) | - |
| dc.date.available | 27-May-2020 09:02:17 (UTC+8) | - |
| dc.date.issued (上傳時間) | 27-May-2020 09:02:17 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/129986 | - |
| dc.description.abstract (摘要) | This paper studies the initial value problem of multi-layer cellular neural networks. We demonstrate that the mosaic solutions of such system is topologically conjugated to a new class in symbolic dynamical systems called the path set (Abram and Lagarias in Adv Appl Math 56:109–134, 2014). The topological entropies of the solution, output, and hidden spaces of a multi-layer cellular neural network with initial condition are formulated explicitly. Also, a sufficient condition for whether the mosaic solution space of a multi-layer cellular neural network is independent of initial conditions is addressed. Furthermore, two spaces exhibit identical topological entropy if and only if they are finitely equivalent. | |
| dc.format.extent | 1390467 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | Journal of Dynamics and Differential Equations, Vol.28, No.1, pp.69-92 | |
| dc.subject (關鍵詞) | Initial value problem ; Cellular neural networks ; Sofic shift ; Path set | |
| dc.title (題名) | Solution Structure of Multi-layer Neural Networks with Initial Condition | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.1007/s10884-015-9471-9 | |
| dc.doi.uri (DOI) | https://doi.org/10.1007/s10884-015-9471-9 | |
