# From neuron to neural networks dynamics

@article{Cessac2006FromNT, title={From neuron to neural networks dynamics}, author={Bruno Cessac and Manuel Samuelides}, journal={The European Physical Journal Special Topics}, year={2006}, volume={142}, pages={7-88} }

Abstract.This paper presents an overview of some techniques and
concepts coming from dynamical system theory and used for the
analysis of dynamical neural networks models. In a first section, we
describe the dynamics of the neuron, starting from the
Hodgkin-Huxley description, which is somehow the canonical
description for the “biological neuron”. We discuss some models
reducing the Hodgkin-Huxley model to a two dimensional dynamical
system, keeping one of the main feature of the neuron: its…

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