Dynamics of Two-Dimensional Discrete-Time Delayed Hopfield Neural Networks
Éva Kaslik, tefan Balint · InTech eBooks · 2008
A complete bifurcation analysis has been presented for a discrete-time Hopfield-type neural network of two neurons with several delays, uncovering the structure of the stability domain of the null solution, as well as the types of bifurcations occurring at its boundary. The numerical example illustrated the theoretical results and suggested some routes towards chaos as the characteristic parameters of the system leave the stability domain. A generalization of these results to more complicated networks of two or more neurons may constitute a direction for future research.