Bifurcation analysis of an oscillatory CNN model with two cells

Barnabas M. Garay, Peter L. Simon

Research output: Contribution to journalArticle

1 Citation (Scopus)


The aim of this paper is to carry out the full bifurcation analysis of the two-parameter two-dimensional oscillatory cellular neural network (CNN) model (3)-(4) in Chap. 8 of the recent monograph of Chua and Roska (Cellular Neural Networks and Visual Computing, Cambridge University Press, [2002]). The main tool is an averaged divergence inequality implying that-regardless the dimension of the phase space-compact invariant sets are of zero Lebesgue measure.

Original languageEnglish
Pages (from-to)199-210
Number of pages12
JournalJournal of Applied Mathematics and Computing
Issue number1-2
Publication statusPublished - May 1 2008



  • Bifurcation analysis
  • Cellular neural networks
  • Liouville formula

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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