Synchronization in model networks of class I neurons
Adaptation and Self-Organizing Systems
2007-05-23 v2 Disordered Systems and Neural Networks
Pattern Formation and Solitons
Neurons and Cognition
Abstract
We study a modification of the canonical model for networks of class I neurons, presented by Hoppensteadt and Izhikevich, 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.
Keywords
Cite
@article{arxiv.nlin/0309041,
title = {Synchronization in model networks of class I neurons},
author = {Guy Katriel},
journal= {arXiv preprint arXiv:nlin/0309041},
year = {2007}
}
Comments
14 pages. An error has been found in the asymptotic analysis in section 5 of the first version, due to which some of the claims made in this section were untrue. In this version the correct results on synchronization/desynchronization in the 'many connections' regime are given