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Dynamics of diluted attractor neural networks with delays

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Abstract

We present an analysis of the attractors of a deterministic dynamics in formal neural networks characterized by binary threshold units and a nonsymmetric connectivity. It is shown that in these networks a stored pattern or a pattern sequence is represented by a cloud of attractors rather than by a single attractor. Dilution, which we describe by a power-law scaling, and delayed couplings are shown to equip this type of network with a dynamic behaviour that is interesting enough for simplified models of biological motor systems.

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Based on the thesis of K. Nützel, Regensburg, 1993

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Nützel, K., Kien, J., Bauer, K. et al. Dynamics of diluted attractor neural networks with delays. Biol. Cybern. 70, 553–561 (1994). https://doi.org/10.1007/BF00198808

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  • DOI: https://doi.org/10.1007/BF00198808

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