creators_name: Katriel, Guy
type: preprint
datestamp: 2003-09-19
lastmod: 2011-03-11 08:55:20
metadata_visibility: show
title: Synchronization in model networks of class I neurons
subjects: neuro-mod
subjects: comp-neuro-sci
subjects: comp-sci-neural-nets
full_text_status: public
abstract: We study a modification of the Hoppensteadt-Izhikevich canonical model for networks of class I neurons, in which the 'pulse' emitted by a neuron is smooth rather than a delta-function. We prove two types of results about synchronization and desynchronization of such networks, the first type pertaining to 'pulse' functions which are symmetric, and the other type in the regime in which each neuron is connected to many other neurons.
date: 2003-09
date_type: published
refereed: FALSE
referencetext: G.B. Ermentrout, Type I membranes, phase resetting curves and synchrony, Neural Comput. 8 (1996), 979-1001.
D. Hansel, G. Mato and C. Meunier, Synchrony in excitatory neural networks, Neural Comput. 7 (1995), 307-335.
F.C. Hoppensteadt & E.M. Izhikevich, `Weakly Connected Neural Networks', Springer-Verlag (New-York), 1997.
E.M. Izhikevich, Class 1 neural excitability, conventional synapses, weakly connected networks, and mathematical
foundations of pulse-coupled models, IEEE Trans. Neural Networks 10 (1999), 499-507.
G. Katriel, Stability of synchronized oscillations in
networks of phase-oscillators, preprint,
http://arxiv.org/abs/nlin.PS/0308031 .
citation: Katriel, Dr Guy (2003) Synchronization in model networks of class I neurons. [Preprint]
document_url: http://cogprints.org/3157/1/ClassI.pdf
document_url: http://cogprints.org/3157/2/ClassI.ps