Spatial disorder of cellular neural networks - With biased term

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

*Corresponding author for this work

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)525-534
Number of pages10
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume12
Issue number3
DOIs
StatePublished - 1 Jan 2002

Keywords

  • Bernoulli shift
  • Spatial disorder
  • Topological entropy
  • Transition matrix

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