Convergence under dynamical thresholds with delays
- 1 March 1997
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Neural Networks
- Vol. 8 (2) , 341-348
- https://doi.org/10.1109/72.557672
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.Keywords
This publication has 15 references indexed in Scilit:
- Delay induced periodicity in a neural netlet of excitation and inhibitionPhysica D: Nonlinear Phenomena, 1996
- Global stability and local stability of Hopfield neural networks with delaysPhysical Review E, 1994
- Stability in asymmetric Hopfield nets with transmission delaysPhysica D: Nonlinear Phenomena, 1994
- A neural network for storing individual patterns in limit cyclesJournal of Physics A: General Physics, 1991
- Dynamics and BifurcationsPublished by Springer Nature ,1991
- Neural networks with dynamical thresholdsPhysical Review A, 1989
- Temporal sequences and chaos in neural netsPhysical Review A, 1988
- Decision equations and reverberationsBiological Cybernetics, 1966
- Decision equation for binary systems. Application to neuronal behaviorBiological Cybernetics, 1966
- Outline of a theory of thought-processes and thinking machinesJournal of Theoretical Biology, 1961