Complicated Superstable Periodic Orbits in a Simple Spiking Neuron Model with Rectangular Threshold Signal

Yusuke MATSUOKA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E101-A   No.11   pp.1944-1948
Publication Date: 2018/11/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E101.A.1944
Type of Manuscript: LETTER
Category: Nonlinear Problems
Keyword: 
spiking neuron,  superstable periodic phenomenon,  spiked output,  one-dimensional return map,  

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Summary: 
We studied complicated superstable periodic orbits (SSPOs) in a spiking neuron model with a rectangular threshold signal. The neuron exhibited SSPOs with various periods that changed dramatically when we varied the parameter space. Using a one-dimensional return map defined by the spike phase, we evaluated period changes and showed its complicated distribution. Finally, we constructed a test circuit to confirm the typical phenomena displayed by the mathematical model.