政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/130192

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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/130192

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题名:	Exact number of mosaic patterns in cellular neural networks
作者:	班榮超 Ban, Jung-Chao Lin, Song-Sun Shih, Chih-Wen
贡献者:	應數系
关键词:	Diamond
日期:	2001-06
上传时间:	2020-06-22 13:40:59 (UTC+8)
摘要:	This work investigates mosaic patterns for the one-dimensional cellular neural networks with various boundary conditions. These patterns can be formed by combining the basic patterns. The parameter space is partitioned so that the existence of basic patterns can be determined for each parameter region. The mosaic patterns can then be completely characterized through formulating suitable transition matrices and boundary-pattern matrices. These matrices generate the patterns for the interior cells from the basic patterns and indicate the feasible patterns for the boundary cells. As an illustration, we elaborate on the cellular neural networks with a general 1 x 3 template. The exact number of mosaic patterns will be computed for the system with the Dirichlet, Neumann and periodic boundary conditions respectively. The idea in this study can be extended to other one-dimensional lattice systems with finite-range interaction.
關聯:	International Journal of Bifurcation and Chaos, Vol.11, No.06, pp.1645-1653
数据类型:	article
DOI 連結:	http://dx.doi.org/10.1142/S0218127401002900
DOI:	10.1142/S0218127401002900
显示于类别:	[應用數學系] 期刊論文

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