Abstract
The paper shows the spatial disorder of one-dimensional Cellular Neural Networks (CNN) using the iteration map method. Under certain parameters, the map is two-dimensional and the Smale horseshoe is constructed. Moreover, we also illustrate the variant of CNN, closely related to Henón-type and Belykh maps, and discrete Allen-Cahn equations.
| Original language | English |
|---|---|
| Pages (from-to) | 2119-2127 |
| Number of pages | 9 |
| Journal | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering |
| Volume | 10 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 2000 |