Nonlinear Theory and Its Applications, IEICE
Online ISSN : 2185-4106
ISSN-L : 2185-4106
Special Section on Bifurcations
Analysis of digital spike maps based on bifurcating neurons
Narutoshi HorimotoToshimichi Saito
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2012 Volume 3 Issue 4 Pages 596-605

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Abstract

This paper studies digital spike maps that can generate various periodic spike-trains. In order to analyze the dynamics, we consider two measures that are basic to characterize the number of periodic spike-trains and their domain of attraction. As a typical example, we consider a map based on discretized bifurcating neurons. Applying a simple calculation algorithm, we can show that the map can exhibit rich periodic spike-trains as a parameter vary.

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© 2012 The Institute of Electronics, Information and Communication Engineers
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