Pascal Chossat

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  Heteroclinic cycles in Hopfield networks
  Pascal Chossat
  Learning or memory in the cortex 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 corresponds to a dynamic pattern of the associated neural circuit. I present a recent work with M. Krupa in which we consider neuronal network 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 defined by robust heteroclinic cycles, and establish a tight connection between their existence and the structure of the coupling.