Synchronization in model networks of class I neurons

Details Synchronization in model networks of class I neurons Synchronization in model networks of class I neurons

2003-09-15

arxiv.org/abs/nlin/0309041v2

Nonlinear Sciences

Adaptation and Self-Organizing Systems

14 pages. An error has been found in the asymptotic analysis in section 5 of the first version, due to which some of the claim

Scientific paper

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.

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