Frustration, stability, and delay-induced oscillations in a neural network model
SIAM Journal on Applied Mathematics
Stability switches and bifurcation analysis of a neural network with continuously delay
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Existence, learning, and replication of periodic motions in recurrent neural networks
IEEE Transactions on Neural Networks
Existence and learning of oscillations in recurrent neural networks
IEEE Transactions on Neural Networks
Weight adaptation and oscillatory correlation for image segmentation
IEEE Transactions on Neural Networks
Oscillatory neural networks for robotic yo-yo control
IEEE Transactions on Neural Networks
Emergent synchrony in locally coupled neural oscillators
IEEE Transactions on Neural Networks
Multiple almost periodic solutions in nonautonomous delayed neural networks
Neural Computation
Some New Stability Conditions of Delayed Neural Networks with Saturation Activation Functions
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Periodicity of Recurrent Neural Networks with Reaction-Diffusion and Dirichlet Boundary Conditions
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks, Part III
ISNN '09 Proceedings of the 6th International Symposium on Neural Networks on Advances in Neural Networks
Multistability of Neural Networks with a Class of Activation Functions
ISNN '09 Proceedings of the 6th International Symposium on Neural Networks on Advances in Neural Networks
Stability Analysis of a General Class of Continuous-Time Recurrent Neural Networks
ISNN '09 Proceedings of the 6th International Symposium on Neural Networks on Advances in Neural Networks
Stability of Switched Cellular Neural Networks with Flat Fuzzy Feedback Min and Max Templates
ISNN 2009 Proceedings of the 6th International Symposium on Neural Networks: Advances in Neural Networks - Part II
Permitted and forbidden sets in discrete-time linear threshold recurrent neural networks
IEEE Transactions on Neural Networks
Delayed neural networks with multistable almost periodic solutions
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Multistability and new attraction basins of almost-periodic solutions of delayed neural networks
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
Global exponential stability of t-s fuzzy neural networks with time-varying delays
ICIC'06 Proceedings of the 2006 international conference on Intelligent Computing - Volume Part I
ICONIP'06 Proceedings of the 13 international conference on Neural Information Processing - Volume Part I
On the global dissipativity of a class of cellular neural networks with multipantograph delays
Advances in Artificial Neural Systems
Stability analysis of multiple equilibria for recurrent neural networks
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part I
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We show that an n-neuron cellular neural network with time-varying delay can have 2n periodic orbits located in saturation regions and these periodic orbits are locally exponentially attractive. In addition, we give some conditions for ascertaining periodic orbits to be locally or globally exponentially attractive and allow them to locate in any designated region. As a special case of exponential periodicity, exponential stability of delayed cellular neural networks is also characterized. These conditions improve and extend the existing results in the literature. To illustrate and compare the results, simulation results are discussed in three numerical examples.