Analysis of Composite Dynamics of Two Bifurcating Neurons

Authors:
Hiroshi Hamanaka;Hiroyuki Torikai;Toshimichi Saito
Affiliations:
The authors are with the EECE Dept., Hosei University, Koganei-shi, 184-8584 Japan. E-mail: saito@k.hosei.ac.jp;The authors are with the EECE Dept., Hosei University, Koganei-shi, 184-8584 Japan. E-mail: saito@k.hosei.ac.jp;The authors are with the EECE Dept., Hosei University, Koganei-shi, 184-8584 Japan. E-mail: saito@k.hosei.ac.jp
Venue:
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Year:
2005

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Abstract

This paper presents pulse-coupled two bifurcating neurons. The single neuron is represented by a spike position map and the coupled neurons can be represented by a composition of the spike position maps. Using the composite map, we can analyze basic bifurcation phenomena and can find some interesting phenomena that are caused by the pulse-coupling and are impossible in the single neuron. Presenting a simple test circuit, typical phenomena are confirmed experimentally.