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apport de rechercheAnalysis of Jansen’s model of a single cortical column
BibTeX
@MISC{Grimbert_apportde,
author = {François Grimbert and Olivier Faugeras and Thème Bio and François Grimbert and Olivier Faugeras and Projet Odyssée and Unité Inria and Sophia Antipolis},
title = {apport de rechercheAnalysis of Jansen’s model of a single cortical column},
year = {}
}
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Abstract
Abstract: In this report we present a mathematical analysis of a simple model of a cortical column. We first recall some known biological facts about cortical columns. We then present a mathematical model of such a column, developed by a number of people including Lopes Da Silva, Jansen, Rit. Finally we analyze some aspects of its behaviour in the framework of the theory of dynamical systems using bifurcation theory and the software package XPP-Aut developed by B. Ermentrout. This mathematical approach leads us to a compact representation of the model that allows to finally discuss its adequacy with biology.
