Spatial disorder of cellular neural networks - With biased term

Jung Chao Ban; Song-Sun Lin; Cheng Hsiung Hsu

doi:10.1142/S0218127402004541

Spatial disorder of cellular neural networks - With biased term

Jung Chao Ban^*, Song-Sun Lin, Cheng Hsiung Hsu

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

A model of one dimensional cellular neural network (CNN) was investigated. The investigations described the spatial disorder of one-dimensional CNN with a biased term by the iteration map method. Each bounded trajectory was found to correspond to the outputs of bounded stationary solutions for the maps. The map was found to be one-dimensional under certain parameters. The spatial entropy of stable stationary solutions could be obtained explicitly as a staircase function.

Original language	English
Pages (from-to)	525-534
Number of pages	10
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	12
Issue number	3
DOIs	https://doi.org/10.1142/S0218127402004541
State	Published - 1 Jan 2002

Keywords

Bernoulli shift
Spatial disorder
Topological entropy
Transition matrix

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