A note on convergence under dynamical thresholds with delays

Authors:
K. Pakdaman;C. P. Malta
Affiliations:
Dept. of Biophys. Eng., Osaka Univ.;-
Venue:
IEEE Transactions on Neural Networks
Year:
1998

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Abstract

We complement the study of the asymptotic behaviour of the dynamical threshold neuron model with delay, introduced by Gopalsamy and Leung (1997), by providing a description of the dynamics of the system in the remaining parameters range. We characterize the regions of “harmless” delays and those in which delay-induced oscillations appear