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. © 2010 EDP Sciences.
CITATION STYLE
Zaks, M. (2011). On chaotic subthreshold oscillations in a simple neuronal model. Mathematical Modelling of Natural Phenomena, 6(1), 149–162. https://doi.org/10.1051/mmnp/20116108
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