Geodesic
On Chaotic Subthreshold Oscillations in a Simple Neuronal Model
M. Zaks1
1 Institute of Physics, Humboldt University of Berlin, D-12489, Germany
Mathematical modelling of natural phenomena, Tome 6 (2011) no. 1, pp. 149-162.

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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.
DOI : 10.1051/mmnp/20116108

M. Zaks 1

1 Institute of Physics, Humboldt University of Berlin, D-12489, Germany 
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M. Zaks. On Chaotic Subthreshold Oscillations in a Simple Neuronal Model. Mathematical modelling of natural phenomena, Tome 6 (2011) no. 1, pp. 149-162. doi : 10.1051/mmnp/20116108. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20116108/

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