The attractors in sequence processing neural networks

Details The attractors in sequence processing neural networks The attractors in sequence processing neural networks

2002-09-12

arxiv.org/abs/cond-mat/0209282v1

Published in Int. J. Mod. Phys. C11, 33(2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

3 pages, 6 figures

Scientific paper

The average length and average relaxation time of attractors in sequence processing neural networks are investigated. The simulation results show that a critical point of $\alpha $, the loading ratio, is found. Below the turning point, the average length is equal to the number of stored patterns; conversely, the ratio of length and numbers of stored patterns, grow with an exponential dependence $\exp (A\alpha) $. Moreover, we find that the logarithm of average relaxation time is only linearly associated with $\alpha $ and the turning point of coupling degree is located for examining robustness of networks.

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