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On Chaotic Subthreshold Oscillations in a Simple Neuronal Model

M. Zaks — 2010

Mathematical Modelling of Natural Phenomena

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.

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