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20070912 16:48:41
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We study a modification of the HoppensteadtIzhikevich canonical model for networks of class I neurons, in which the 'pulse' emitted by a neuron is smooth rather than a deltafunction. 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.

Katriel
Guy
Dr
FALSE
FALSE
G.B. Ermentrout, Type I membranes, phase resetting curves and synchrony, Neural Comput. 8 (1996), 9791001.
D. Hansel, G. Mato and C. Meunier, Synchrony in excitatory neural networks, Neural Comput. 7 (1995), 307335.
F.C. Hoppensteadt & E.M. Izhikevich, `Weakly Connected Neural Networks', SpringerVerlag (NewYork), 1997.
E.M. Izhikevich, Class 1 neural excitability, conventional synapses, weakly connected networks, and mathematical
foundations of pulsecoupled models, IEEE Trans. Neural Networks 10 (1999), 499507.
G. Katriel, Stability of synchronized oscillations in
networks of phaseoscillators, preprint,
http://arxiv.org/abs/nlin.PS/0308031 .
 neuromod
 compneurosci
 compscineuralnets
Synchronization in model networks of class I neurons
published
200309
public