Sequential Desynchronization in Networks of Spiking Neurons with Partial Reset
Neurons and Cognition
2010-06-04 v1
Abstract
The response of a neuron to synaptic input strongly depends on whether or not it has just emitted a spike. We propose a neuron model that after spike emission exhibits a partial response to residual input charges and study its collective network dynamics analytically. We uncover a novel desynchronization mechanism that causes a sequential desynchronization transition: In globally coupled neurons an increase in the strength of the partial response induces a sequence of bifurcations from states with large clusters of synchronously firing neurons, through states with smaller clusters to completely asynchronous spiking. We briefly discuss key consequences of this mechanism for more general networks of biophysical neurons.
Cite
@article{arxiv.0810.2749,
title = {Sequential Desynchronization in Networks of Spiking Neurons with Partial Reset},
author = {Christoph Kirst and Theo Geisel and Marc Timme},
journal= {arXiv preprint arXiv:0810.2749},
year = {2010}
}