Bifurcations in Discrete-Time Delayed Hopfield Neural Networks of Two Neurons

This paper is devoted to the bifurcation analysis of a two-dimensional discrete-time delayed Hopfield-type neural network. In the most general framework considered so far in the known literature, the stability domain of the null solution and the bifurcations occurring at its boundary are described in terms of two characteristic parameters. By applying the center manifold theorem and the normal form theory, the direction and stability of the existing bifurcations are analyzed.

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