CHAOTIC STATIONARY SOLUTIONS OF CELLULAR NEURAL NETWORKS
Fangyue Chen, Zengrong Liu · International Journal of Bifurcation and Chaos · 2003
This study describes the chaotic stationary solutions of one-dimensional Cellular Neural Networks (CNN) without inputs with a specific term by applying the iteration map method. Under perfectly determined specific parameters, the map which corresponds to the stationary solution of CNN is two-dimensional and has a hyperbolic invariant Cantor set on which it is topologically conjugate to a two-sided shift of symbols space. The used main tool is the Conley–Moser conditions.