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arXiv · 1411.3909

Heteroclinic cycles in Hopfield networks

Pascal Chossat·Martin Krupa
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Abstract

Learning or memory formation are associated with the strengthening of the synaptic connections between neurons according to a pattern reflected by the input. According to this theory a retained memory sequence is associated to a dynamic pattern of the associated neural circuit. In this work we consider a class of network neuron models, known as Hopfield networks, with a learning rule which consists of transforming an information string to a coupling pattern. Within this class of models we study dynamic patterns, known as robust heteroclinic cycles, and establish a tight connection between their existence and the structure of the coupling.

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Pascal Chossat, Martin Krupa. 2014-11-14. Heteroclinic cycles in Hopfield networks. https://doi.org/10.1007/s00332-015-9276-3

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