Bifurcation and windows in a simple piecewise linear chaotic spiking neuron

Authors:
Tomonari Hasegawa;Toshimichi Saito
Affiliations:
Hosei University, Koganei, Tokyo, Japan;Hosei University, Koganei, Tokyo, Japan
Venue:
ICONIP'08 Proceedings of the 15th international conference on Advances in neuro-information processing - Volume Part I
Year:
2008

Citing 6
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Abstract

This paper studies a piecewise linear chaotic spiking oscillator relating to neuron models. Repeating vibrate-and-fire dynamics, the system can exhibit chaotic/periodic spike-trains and related bifurcation phenomena. Deriving the return map of a state variable, we can analyze typical phenomena precisely and have confirmd an interesting bifurcation phenomena of chaotic spike-trains and window structure of period-doubling route.