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| APPROACHES ON ATTRACTION CHARACTORISTICS OF A KIND OF DISCRETE HOPFIELD NETWORKS |
| Zhang Junying; Xu Jin; Bao Zheng |
| Nat. Defense Key Lab. on Radar Signal Processing Xidian Univ., Xi an 710071 China |
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Abstract This paper studies the attraction characteristics of a kind of symmetric discrete Hopfield neural networks, the network with ri-cube as its structure and connection situation, called n-cube network. The structure of the attraction states/cycles and their attraction diameters are explored. The result is that the attraction region is of same size and so is the attraction diameters for the attraction states/cycles with same attraction structure. Furthermore, the above result is extended to a more general asymmetric discrete Hopfield network and the conditions for the network to be (or partially to be) with the same attraction states/cycles as those of n-cube network are studied, and its attraction diameters are presented.
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Received: 15 October 1999
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2001, Vol. 23 
