Cellular neural networks: Space-dependent template, mosaic patterns and spatial chaos

Juang Jonq*, Shih Feng Shieh, Larry Turyn

*Corresponding author for this work

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

We consider a Cellular Neural Network (CNN) with a bias term in the integer lattice ℤ2 on the plane ℤ2. We impose a space-dependent coupling (template) appropriate for CNN in the hexagonal lattice on ℤ2. Stable mosaic patterns of such CNN are completely characterized. The spatial entropy of a (p1, p2)-translation invariant set is proved to be well-defined and exists. Using such a theorem, we are also able to address the complexities of resulting mosaic patterns.

Original languageEnglish
Pages (from-to)1717-1730
Number of pages14
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume12
Issue number8
DOIs
StatePublished - 1 Jan 2002

Keywords

  • Cellular Neural Networks
  • Space-dependent template
  • Spatial chaos

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