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;{-12} 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.
Chen
Yong
Y
Research Center for Science, Xi'an Jiaotong University, Xi'an 710049, China. ychen@lzu.edu.cn
Zhang
Pan
P
Yu
Lianchun
L
Zhang
Shengli
S