Summary

International Symposium on Nonlinear Theory and its Applications

2009

Session Number:B4L-D

Session:

Number:B4L-D3

A Novel Resonate-and-Fire-type Digital Spiking Neuron and its Bifurcation Analysis

Tetsuya Hishiki,  Hiroyuki Torikai,  

pp.-

Publication Date:2009/10/18

Online ISSN:2188-5079

DOI:10.34385/proc.43.B4L-D3

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Summary:
In this paper we propose a novel resonate-and-fire-type digital spiking neuron. The neuron accepts an stimulation input and generates various firing spike-trains. We derive a return map which can describe the neuron dynamics without any approximations. The map is a continuous/discrete hybrid map. Using the map we analyze the neuron dynamics and clarify typical bifurcation mechanisms of the neuron. We also discuss relations between responses of our model and an ODE spiking neuron model.