Highly Symmetric Neural Networks of Hopfield Type (exact results)
  A set of fixed points of the Hopfield type neural network is under investigation. Its connection matrix is constructed with regard to the Hebb rule from a highly symmetric set of the memorized patterns. Depending on the external parameter the analytic description of the fixed points set has been obtained. 
Leonid B. Litinsky (Institute for High Pressure Physics Russian   Academy of Sciences)