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政大典藏 > College of Science > Department of Mathematical Sciences > Periodical Articles > Item 140.119/130198

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/130198

Title:	On the monotonicity of entropy for multilayer cellular neural networks
Authors:	班榮超 Ban, Jung-Chao Chang, Chih-Hung
Contributors:	應數系
Keywords:	Cellular neural networks;soﬁc shift;topological entropy;forcing relation;maximaltemplate;minimal template
Date:	2009-11
Issue Date:	2020-06-22 13:42:07 (UTC+8)
Abstract:	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.
Relation:	International Journal of Bifurcation and Chaos, Vol.19, No.11, pp.3657-3670
Data Type:	article
DOI link:	https://doi.org/10.1142/S0218127409025043
DOI:	10.1142/S0218127409025043
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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