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.
|Number of pages||14|
|Journal||International Journal of Bifurcation and Chaos in Applied Sciences and Engineering|
|State||Published - 1 Jan 2002|
- Cellular Neural Networks
- Space-dependent template
- Spatial chaos