Abundance of mosaic patterns for CNN with spatially variant templates

Cheng Hsiung Hsu, Ting Hui Yang

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


This work investigates the complexity of one-dimensional cellular neural network mosaic patterns with spatially variant templates on finite and infinite lattices. Various boundary conditions are considered for finite lattices and the exact number of mosaic patterns is computed precisely. The entropy of mosaic patterns with periodic templates can also be calculated for infinite lattices. Furthermore, we show the abundance of mosaic patterns with respect to template periods and, which differ greatly from cases with spatially invariant templates.

Original languageEnglish
Pages (from-to)1321-1332
Number of pages12
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Issue number6
StatePublished - Jun 2002


  • Spatial entropy
  • Transition matrix


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