English

Time evolution of the extremely diluted Blume-Emery-Griffiths neural network

Statistical Mechanics 2009-11-07 v2 Disordered Systems and Neural Networks

Abstract

The time evolution of the extremely diluted Blume-Emery-Griffiths neural network model is studied, and a detailed equilibrium phase diagram is obtained exhibiting pattern retrieval, fluctuation retrieval and self-sustained activity phases. It is shown that saddle-point solutions associated with fluctuation overlaps slow down considerably the flow of the network states towards the retrieval fixed points. A comparison of the performance with other three-state networks is also presented.

Keywords

Cite

@article{arxiv.cond-mat/0208281,
  title  = {Time evolution of the extremely diluted Blume-Emery-Griffiths neural network},
  author = {D. Bolle' and D. R. C. Dominguez and R. Erichsen and E. Korutcheva and W. K. Theumann},
  journal= {arXiv preprint arXiv:cond-mat/0208281},
  year   = {2009}
}

Comments

8 pages, 5 figures