Elements of applied bifurcation theory (2nd ed.)
Elements of applied bifurcation theory (2nd ed.)
Exponential stability and periodic oscillatory solution in BAM networks with delays
IEEE Transactions on Neural Networks
Unsupervised learning in noise
IEEE Transactions on Neural Networks
Stability and Hopf Bifurcation in a Simplified BAM Neural Network With Two Time Delays
IEEE Transactions on Neural Networks
Delay-independent stability in bidirectional associative memory networks
IEEE Transactions on Neural Networks
| Hi-index | 7.29 |
In this paper, a simplified BAM neural network model with multiple delays is considered. By studying the distribution of the eigenvalues of the associated characteristic equation, we derive the critical values where Hopf-Pitchfork bifurcation occurs. Then, by computing the normal forms for the system, the bifurcation diagrams are obtained. Furthermore, we carry out bifurcation analysis and numerical simulations showing that there exist a stable fixed point, a pair of stable fixed points, a stable periodic solution, and co-existence of a pair of stable periodic solution in the neighborhood of the Hopf-Pitchfork critical point.