Dynamics of discrete-time quaternionic hopfield neural networks

Authors:
Teijiro Isokawa;Haruhiko Nishimura;Naotake Kamiura;Nobuyuki Matsui
Affiliations:
Division of Computer Engineering, Graduate School of Engineering, University of Hyogo, Japan;Graduate School of Applied Informatics, University of Hyogo, Japan;Division of Computer Engineering, Graduate School of Engineering, University of Hyogo, Japan;Division of Computer Engineering, Graduate School of Engineering, University of Hyogo, Japan
Venue:
ICANN'07 Proceedings of the 17th international conference on Artificial neural networks
Year:
2007

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Abstract

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.