Bifurcation Analysis of a Resonate-and-Fire-Type Digital Spiking Neuron

  • Authors:
  • Tetsuya Hishiki;Hiroyuki Torikai

  • Affiliations:
  • Graduate School of Engineering Science, Osaka University, Toyonaka, Japan 560-8531;Graduate School of Engineering Science, Osaka University, Toyonaka, Japan 560-8531

  • Venue:
  • ICONIP '09 Proceedings of the 16th International Conference on Neural Information Processing: Part II
  • Year:
  • 2009

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Abstract

In this paper we present a generalized model of a resonate-and-fire-type digital spiking neuron. Depending on a stimulation input, the neuron generates various firing spike-trains. Using a hybrid return map, we can analyze typical bifurcation phenomena of the neuron. The analysis clarifies that the generalized model can mimic many responses of biological spiking neurons.