Skip to Main content Skip to Navigation
Journal articles

An Organizing Center in a Planar Model of Neuronal Excitability

Abstract : This paper studies the excitability properties of a generalized FitzHugh-Nagumo model. The model differs from the classical FitzHugh-Nagumo model in that it accounts for the effect of cooperative gating variables such as activation of calcium currents. Excitability is explored by unfolding a pitchfork bifurcation that is shown to organize five different types of excitability. In addition to the three classical types of neuronal excitability, two novel types are described and distinctly associated to the presence of cooperative variables.
Document type :
Journal articles
Complete list of metadatas

Cited literature [34 references]  Display  Hide  Download

https://hal.inria.fr/hal-00824991
Contributor : Alessio Franci <>
Submitted on : Wednesday, May 22, 2013 - 4:48:21 PM
Last modification on : Friday, April 19, 2019 - 1:26:04 PM
Document(s) archivé(s) le : Friday, August 23, 2013 - 4:13:36 AM

File

87501.pdf
Explicit agreement for this submission

Identifiers

Collections

Citation

Alessio Franci, Guillaume Drion, Rodolphe Sepulchre. An Organizing Center in a Planar Model of Neuronal Excitability. SIAM Journal on Applied Dynamical Systems, Society for Industrial and Applied Mathematics, 2012, 11 (4), pp.1698 - 1722. ⟨10.1137/120875016⟩. ⟨hal-00824991⟩

Share

Metrics

Record views

273

Files downloads

567