On the Equilibrium State Stability of a Neural Network Model
https://doi.org/10.18255/1818-1015-2014-3-55-61
Abstract
In the paper, a neural network model based on three McCulloch–Pitts adder neurons is considered. Previously, the features of the model dynamics were numerically analyzed and the stability of various dynamic modes of the network with small changes of the current state was studied, including the detection of parameters specific for the chaotic system dynamics. In the paper, the stability problem of the neural network equilibrium states (steady operating mode) is considered for different values of feedback synaptic weight coefficients. An analytic proof of the zero equilibrium state instability for the corresponding dynamic system for all parameter values of the neural network is presented as the main result of the article.
About the Author
Y. V. Bogomolov
P.G. Demidov Yaroslavl State University
Russian Federation
старший преподаватель кафедры дискретного анализа, Sovetskaya str., 14, Yaroslavl, 150000, Russia
Russian Federation
старший преподаватель кафедры дискретного анализа, Sovetskaya str., 14, Yaroslavl, 150000, Russia
References
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Review
For citations:
Bogomolov Y.V. On the Equilibrium State Stability of a Neural Network Model. Modeling and Analysis of Information Systems. 2014;21(3):55-61. (In Russ.) https://doi.org/10.18255/1818-1015-2014-3-55-61
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