Convergence under dynamical thresholds with delays

Authors:
K. Gopalsamy;I. K.C. Leung
Affiliations:
Dept. of Math. & Stat., Flinders Univ., Adelaide, SA;-
Venue:
IEEE Transactions on Neural Networks
Year:
1997

Citing 0
Cited 17

Convergence of Delayed Dynamical Systems

Neural Processing Letters
Stability analyses of cellular neural networks with continuous time delay

Journal of Computational and Applied Mathematics
Bifurcation analysis on a two-neuron system with distributed delays

Neural Networks
Global robust stability of neural networks with time varying delays

Journal of Computational and Applied Mathematics
The nonresonant double Hopf bifurcation in delayed neural network

International Journal of Computer Mathematics - Computer Mathematics in Dynamics and Control
A novel delayed chaotic neural model and its circuitry implementation

Computers & Mathematics with Applications
Asymptotic stability analysis of certain neutral differential equations: A descriptor system approach

Mathematics and Computers in Simulation
Complex dynamics and stability of Hopfield neural networks with delays

International Journal of Systems, Control and Communications
Hopf bifurcation control for a single neuron model with delay-dependent parameters via state feedback

ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part I
Stability and bifurcation of a neuron model with delay-dependent parameters

ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
Stability and chaos of a neural network with uncertain time delays

ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
Chaos synchronization for bi-directional coupled two-neuron systems with discrete delays

ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
Global convergence of continuous-time recurrent neural networks with delays

ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
Range parameter induced bifurcation in a single neuron model with delay-dependent parameters

ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part I
Asymptotic stability of certain neutral differential equations

Mathematical and Computer Modelling: An International Journal
Discrete delays and piecewise constant argument in neuronics

Neural, Parallel & Scientific Computations
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

Quantified Score

Hi-index	0.00

Visualization

Abstract

Necessary and sufficient conditions are obtained for the existence of a globally asymptotically stable equilibrium of a class of delay differential equations modeling the action of a neuron with dynamical threshold effects