Stability and Hopf‐Bifurcating Periodic Solution for Delayed Hopfield Neural Networks with n Neuron

Haji Mohammad Mohammadinejad and Mohammad Hadi Moslehi

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/628637

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:628637

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