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  1. 1 2005

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  1. 1 Koroutchev K.

  2. 1 Korutcheva E.

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Conditions for the emergence of spatially asymmetric retrieval states in an attractor neural network

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Koroutchev K., Korutcheva E.
Open Physics
|
2005
|
vol. 3
|
issue 3
409-419
EN
In this paper we show that during the retrieval process in a binary symmetric Hebb neural network, spatially localized states can be observed when the connectivity of the network is distance-dependent and a constraint on the activity of the network is imposed, which forces different levels of activity in the retrieval and learning states. This asymmetry in the activity during retrieval and learning is found to be a sufficient condition to observe spatially localized retrieval states. The result is confirmed analytically and by simulation.
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