English

Period-two cycles in a feed-forward layered neural network model with symmetric sequence processing

Disordered Systems and Neural Networks 2015-05-13 v1

Abstract

The effects of dominant sequential interactions are investigated in an exactly solvable feed-forward layered neural network model of binary units and patterns near saturation in which the interaction consists of a Hebbian part and a symmetric sequential term. Phase diagrams of stationary states are obtained and a new phase of cyclic correlated states of period two is found for a weak Hebbian term, independently of the number of condensed patterns cc.

Keywords

Cite

@article{arxiv.0704.2580,
  title  = {Period-two cycles in a feed-forward layered neural network model with symmetric sequence processing},
  author = {F. L. Metz and W. K. Theumann},
  journal= {arXiv preprint arXiv:0704.2580},
  year   = {2015}
}
R2 v1 2026-06-21T08:20:18.003Z