Stability Criteria with Less Variables for Neural Networks with Time-Varying Delay
ISNN '08 Proceedings of the 5th international symposium on Neural Networks: Advances in Neural Networks
A Bidirectional Hetero-Associative Memory for True-Color Patterns
Neural Processing Letters
New Lyapunov-Krasovskii functionals for global asymptotic stability of delayed neural networks
IEEE Transactions on Neural Networks
Delay-Induced Hopf Bifurcation and Periodic Solution in a BAM Network with Two Delays
ICANN '09 Proceedings of the 19th International Conference on Artificial Neural Networks: Part II
Computation of synchronized periodic solution in a BAM network with two delays
IEEE Transactions on Neural Networks
Stochastic stability and bifurcation analysis on hopfield neural networks with noise
LSMS/ICSEE'10 Proceedings of the 2010 international conference on Life system modeling and simulation and intelligent computing, and 2010 international conference on Intelligent computing for sustainable energy and environment: Part II
Stochastic stability and bifurcation analysis on Hopfield neural networks with noise
Expert Systems with Applications: An International Journal
Stochastic stability analysis of delayed hopfield neural networks with impulse effects
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part I
Stability analysis and Hopf-type bifurcation of a fractional order hindmarsh-rose neuronal model
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part I
Stability and Bifurcation Analysis on a Ring of Five Neurons with Discrete Delays
Journal of Dynamical and Control Systems
Hopf-Pitchfork bifurcation in a simplified BAM neural network model with multiple delays
Journal of Computational and Applied Mathematics
Bifurcation of a discrete-time cohen-grossberg-type BAM neural network with delays
ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part I
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Various local periodic solutions may represent different classes of storage patterns or memory patterns, and arise from the different equilibrium points of neural networks (NNs) by applying Hopf bifurcation technique. In this paper, a bidirectional associative memory NN with four neurons and multiple delays is considered. By applying the normal form theory and the center manifold theorem, analysis of its linear stability and Hopf bifurcation is performed. An algorithm is worked out for determining the direction and stability of the bifurcated periodic solutions. Numerical simulation results supporting the theoretical analysis are also given