Transient dynamics for sequence processing neural networks: effect of degree distributions

Details Transient dynamics for sequence processing neural networks: effect of degree distributions Transient dynamics for sequence processing neural networks: effect of degree distributions

2007-05-24

arxiv.org/abs/0705.3679v2

Phys. Rev. E 77, 016110 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, 6 figures

Scientific paper

10.1103/PhysRevE.77.016110

We derive a analytic evolution equation for overlap parameters including the effect of degree distribution on the transient dynamics of sequence processing neural networks. In the special case of globally coupled networks, the precisely retrieved critical loading ratio $\alpha_c = N ^{-1/2}$ is obtained, where $N$ is the network size. In the presence of random networks, our theoretical predictions agree quantitatively with the numerical experiments for delta, binomial, and power-law degree distributions.

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