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On Chaotic Subthreshold Oscillations in a Simple NeuronalModel

Published online by Cambridge University Press:  09 June 2010

M. Zaks
M. Zaks*
Affiliation:
Institute of Physics, Humboldt University of Berlin, D-12489, Germany
*
* Corresponding author. E-mail:[email protected]
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Abstract

In a simple FitzHugh-Nagumo neuronal model with one fast and two slow variables, asequence of period-doubling bifurcations for small-scale oscillations precedes thetransition into the spiking regime. For a wide range of values of the timescale separationparameter, this scenario is recovered numerically. Its relation to the singularlyperturbed integrable system is discussed.

Keywords

slow-fast equationsperiod-doubling bifurcation
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 1: Instability and patterns. Issue dedicated to the memory of A. Golovin , 2011 , pp. 149 - 162
Copyright
© EDP Sciences, 2010

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