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2014 Stability and Hopf-Bifurcating Periodic Solution for Delayed Hopfield Neural Networks with n Neuron
Haji Mohammad Mohammadinejad, Mohammad Hadi Moslehi
J. Appl. Math. 2014(none): 1-10 (2014). DOI: 10.1155/2014/628637

Abstract

We consider a system of delay differential equations which represents the general model of a Hopfield neural networks type. We construct some new sufficient conditions for local asymptotic stability about the trivial equilibrium based on the connection weights and delays of the neural system. We also investigate the occurrence of an Andronov-Hopf bifurcation about the trivial equilibrium. Finally, the simulating results demonstrate the validity and feasibility of our theoretical results.

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Haji Mohammad Mohammadinejad. Mohammad Hadi Moslehi. "Stability and Hopf-Bifurcating Periodic Solution for Delayed Hopfield Neural Networks with n Neuron." J. Appl. Math. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/628637

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131751
MathSciNet: MR3212507
Digital Object Identifier: 10.1155/2014/628637

Rights: Copyright © 2014 Hindawi

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