DocumentCode :
1557262
Title :
An analysis of a neural network with a fixed memory span
Author :
Oguztöreli, M. Namik
Author_Institution :
Dept. of Math., Alberta Univ., Edmonton, Alta., Canada
Volume :
21
Issue :
3
fYear :
1991
Firstpage :
683
Lastpage :
690
Abstract :
A study is made of a discrete neural model with a fixed memory span h. The model is described by a system of coupled nonlinear delay differential equations of the Krasovskii-Razumikhin type. After establishing some of the general properties of the model the effects of the memory spans are discussed in the cellular and network levels. The results of some simulations are presented, showing a good agreement with theory. Activity profiles in both models agree for large h. For increasing h the neutral model with fixed memory span approaches the neural model with cumulative memory. However, the agreement between activity profiles of both models is lost for small memory spans h. For small h, the adaptation property of neurons to external inputs, and the causal property of the model disappear
Keywords :
neural nets; nonlinear differential equations; Krasovskii-Razumikhin type; activity profiles; cumulative memory; discrete neural model; fixed memory span; neural network; nonlinear delay differential equations; Cellular networks; Councils; Couplings; Delay; Differential equations; History; Mathematics; Neural networks; Neurons; Steady-state;
fLanguage :
English
Journal_Title :
Systems, Man and Cybernetics, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9472
Type :
jour
DOI :
10.1109/21.97461
Filename :
97461
Link To Document :
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