SMALE HORSESHOE OF CELLULAR NEURAL NETWORKS
Cheng-Hsiung Hsu · International Journal of Bifurcation and Chaos · 2000
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.