Applied Mathematics and Computation
Frustration, stability, and delay-induced oscillations in a neural network model
SIAM Journal on Applied Mathematics
Neural Networks: A Comprehensive Foundation
Neural Networks: A Comprehensive Foundation
Global Hopf bifurcation analysis on a BAM neural network with delays
Mathematical and Computer Modelling: An International Journal
Stability and Hopf Bifurcation in a Simplified BAM Neural Network With Two Time Delays
IEEE Transactions on Neural Networks
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A stochastic differential equation modelling a Hopfield neural network with two neurons is investigated. Its dynamics are studied in terms of local stability analysis and Hopf bifurcation analysis. By analyzing the Lyapunov exponent, invariant measure and singular boundary theory, its nonlinear stability is investigated and Hopf bifurcations are demonstrated. The stability and direction of the Hopf bifurcation are determined from the dynamical and phenomenological points of view.