On Chaotic Subthreshold Oscillations in a Simple Neuronal Model
Institute of Physics, Humboldt University of Berlin, D-12489,
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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.
Mathematics Subject Classification: 92C20 / 37G15 / 34D15
Key words: slow-fast equations / period-doubling bifurcation
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