Math. Model. Nat. Phenom.
Volume 6, Number 1, 2011Instability and patterns. Issue dedicated to the memory of A. Golovin
|Page(s)||149 - 162|
|Published online||09 June 2010|
On Chaotic Subthreshold Oscillations in a Simple Neuronal Model
Institute of Physics, Humboldt University of Berlin, D-12489,
* Corresponding author. E-mail:
In a simple FitzHugh-Nagumo neuronal model with one fast and two slow variables, a sequence of period-doubling bifurcations for small-scale oscillations precedes the transition into the spiking regime. For a wide range of values of the timescale separation parameter, this scenario is recovered numerically. Its relation to the singularly perturbed integrable system is discussed.
Mathematics Subject Classification: 92C20 / 37G15 / 34D15
Key words: slow-fast equations / period-doubling bifurcation
© EDP Sciences, 2010
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