TRANSIENT REGIME DURATION IN CONTINUOUS-TIME NEURAL NETWORKS WITH DELAY

Citation
K. Pakdaman et al., TRANSIENT REGIME DURATION IN CONTINUOUS-TIME NEURAL NETWORKS WITH DELAY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(3), 1998, pp. 3623-3627
Citations number
41
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
58
Issue
3
Year of publication
1998
Part
B
Pages
3623 - 3627
Database
ISI
SICI code
1063-651X(1998)58:3<3623:TRDICN>2.0.ZU;2-W
Abstract
Finite transmission times between neurons, referred to as delays, appe ar in hardware implementation of neural networks and may interfere wit h information processing by inducing oscillations. In some networks th ese oscillations are transients. In this work, we examine these in a t wo-neuron network, and we show analytically that the duration of such transients increases exponentially with the delay.