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 language | English |
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Pages (from-to) | 1717-1730 |
Number of pages | 14 |
Journal | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering |
Volume | 12 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2002 Aug |
Keywords
- Cellular Neural Networks
- Space-dependent template
- Spatial chaos
ASJC Scopus subject areas
- Modelling and Simulation
- Engineering (miscellaneous)
- General
- Applied Mathematics