Complex Dynamics in a Simple Hopfield-Type Neural Network

In this paper, we demonstrate complex dynamics in a classical Hopfield-type neural network with three neurons. There are no interconnections between the first one and the third one, so it may be a part with ignorable input from a complex neural network. However, the stable points, limit circles, single-scroll chaotic attractors and double-scrolls chaotic attractor have been observed as we adjust the weight from the second neuron to itself.

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