HORSESHOE CHAOS IN CELLULAR NEURAL NETWORKS
Xiao‐Song Yang, Qingdu Li · International Journal of Bifurcation and Chaos · 2006
In this paper, we demonstrate chaos in low dimensional cellular neural networks for some weight matrices. To verify chaoticity of the dynamics in these cellular neural networks, we consider a cross-section properly chosen for the attractors obtained and study the dynamics of the corresponding Poincaré maps, and rigorously verify the existence of horseshoe in the manner of computer-assisted proof arguments.