Optimization of space structures by neural dynamics
Neural Networks
Frustration, stability, and delay-induced oscillations in a neural network model
SIAM Journal on Applied Mathematics
A delayed projection neural network for solving linear variational inequalities
IEEE Transactions on Neural Networks
Solving Quadratic Programming Problems by Delayed Projection Neural Network
IEEE Transactions on Neural Networks
Stability and Hopf Bifurcation of a General Delayed Recurrent Neural Network
IEEE Transactions on Neural Networks
How delays affect neural dynamics and learning
IEEE Transactions on Neural Networks
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The dynamics of a four-neuron delayed bidirectional associative memory (BAM) model with inertia are investigated. Local stability for the trivial equilibrium is analyzed for various system parameters. Stability switches and fold-Hopf bifurcations are found to occur in this model as progressive increasing of coupling delay values. Fold-Hopf bifurcations are completely analyzed in the parameter space of the coupling delay and the connection weight by employing the extended perturbation-incremental scheme. Various dynamical behaviors are qualitatively classified in the neighbor of fold-Hopf bifurcation point and bifurcating periodic solutions are expressed analytically in an approximate form. The validity of the results is shown by their consistency with the numerical simulation.