Stability and Hopf-Bifurcating Periodic Solution for Delayed Hopfield Neural Networks withnNeuron
Haji Mohammad Mohammadinejad, Mohammad Hadi Moslehi · Journal of Applied Mathematics · 2014
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.