On the effect of boundary conditions on CNN dynamics: Stability and instability, bifurcation processes and chaotic phenomena

I. Petras, P. Checco, M. Gilli, T. Roska, M. Biey

Research output: Contribution to journalConference article

2 Citations (Scopus)


The effect of the boundary conditions on the global dynamics of cellular neural networks (CNNs) is investigated. As a case study one dimensional template CNNs are considered. It is shown that if off-diagonal template elements have the same sign (i.e. the CNN is completely stable), then the qualitative dynamics is not influenced by the boundary conditions. If the off-diagonal template elements have opposite sign, then the boundary conditions behave as bifurcation parameters and can give rise to a very complex dynamic behavior. In particular they determine the equilibrium point patterns, the transition from stability to instability and the occurrence of several bifurcation phenomena leading to strange and/or chaotic attractor.

Original languageEnglish
Pages (from-to)III590-III593
JournalProceedings - IEEE International Symposium on Circuits and Systems
Publication statusPublished - Jul 14 2003
EventProceedings of the 2003 IEEE International Symposium on Circuits and Systems - Bangkok, Thailand
Duration: May 25 2003May 28 2003


ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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