Authors Referees APS Members |
January 2008, to be published in Physical Review E
Transient dynamics for sequence-processing neural networks: Effect of degree
distributions
We derive an 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. © 2008 The American Physical Society.
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