Summary

International Symposium on Nonlinear Theory and Its Applications

2015

Session Number:A3L-D

Session:

Number:A3L-D-4

Analysis of Various Super-Stable Periodic Spike-Trains in Bifurcating Neuron with Two Triangular Inputs

Risa Takahashi,  Yusaku Yanase,  Toshimichi Saito,  

pp.177-180

Publication Date:2015/12/1

Online ISSN:2188-5079

DOI:10.34385/proc.47.A3L-D-4

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Summary:
This paper studies dynamics of the bifurcating neuron with two triangular inputs: the first input is period T and the second input is period T/3. Repeating integrate-and-fire behavior between a threshold and the base signal, the neuron can output various spike-trains. Deriving one-dimensional map of spike phases, the dynamics can be analyzed precisely. Especially, this paper analyzes a variety of super-stable periodic spike-trains and related bifurcation phenomena.