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

Jonq Juang, Shih Feng Shieh, Larry Turyn

Research output: Contribution to journalArticle

3 Citations (Scopus)

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
Publication statusPublished - 2002 Aug

Fingerprint

Cellular neural networks
Cellular Networks
Chaos theory
Template
Chaos
Neural Networks
Dependent
Hexagonal Lattice
Invariant Set
Well-defined
Entropy
Integer
Term
Theorem

Keywords

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

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

Cite this

Cellular neural networks : Space-dependent template, mosaic patterns and spatial chaos. / Juang, Jonq; Shieh, Shih Feng; Turyn, Larry.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 12, No. 8, 08.2002, p. 1717-1730.

Research output: Contribution to journalArticle

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