A neural network for storing individual patterns in limit cycles

Deshpande, V. ; Dasgupta, C. (1991) A neural network for storing individual patterns in limit cycles Journal of Physics A: Mathematical and General, 24 (21). pp. 5105-5120. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/24/21/022

Related URL: http://dx.doi.org/10.1088/0305-4470/24/21/022

Abstract

A neural network model in which individual memories are stored in limit cycles is studied analytically and numerically. In this model there are two kinds of interactions: a Hopfield-like term that tends to stabilize the system in a memorized state and a second term with a time delay that acts to induce transitions between a memorized state and its complement state. For a proper choice of the values of the parameters, this model exhibits limit cycle behaviour in which the overlap with a target pattern oscillates in time. An asymmetrically diluted version of the model is studied analytically in the limit of extreme dilution.

Item Type:Article
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ID Code:83438
Deposited On:20 Feb 2012 12:09
Last Modified:20 Feb 2012 12:09

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