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Published in:
2007 | OriginalPaper | Chapter
Dynamics of Discrete-Time Quaternionic Hopfield Neural Networks
Authors : Teijiro Isokawa, Haruhiko Nishimura, Naotake Kamiura, Nobuyuki Matsui
Published in: Artificial Neural Networks – ICANN 2007
Publisher: Springer Berlin Heidelberg
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We analyze a discrete-time quaternionic Hopfield neural network with continuous state variables updated asynchronously. The state of a neuron takes quaternionic value which is four-dimensional hypercomplex number. Two types of the activation function for updating neuron states are introduced and examined. The stable states of the networks are demonstrated through an example of small network.