Bifurcating neurons with filtered base signals

Authors:
Shota Kirikawa;Takashi Ogawa;Toshimichi Saito
Affiliations:
Hosei University, Koganei, Tokyo, Japan;Hosei University, Koganei, Tokyo, Japan;Hosei University, Koganei, Tokyo, Japan
Venue:
ICANN'12 Proceedings of the 22nd international conference on Artificial Neural Networks and Machine Learning - Volume Part I
Year:
2012

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Abstract

This paper studies the bifurcating neuron whose base signal is given by filtering a source signal. As the time constant of the filter varies, shape of base signal varies and the neuron can exhibit rich phenomena. We show typical ones: co-existing periodic and chaotic orbits in single neuron; and chaos + chaos = order and order + order = chaos in the pulse-coupled neurons. The phenomena can be analyzed by the one-dimensional map of spike-phases. Presenting a simple test circuit, typical phenomena are confirmed experimentally.