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.
This work is supported in part by JSPS KAKENHI#21500223.
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© 2012 Springer-Verlag Berlin Heidelberg
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Kirikawa, S., Ogawa, T., Saito, T. (2012). Bifurcating Neurons with Filtered Base Signals. In: Villa, A.E.P., Duch, W., Érdi, P., Masulli, F., Palm, G. (eds) Artificial Neural Networks and Machine Learning – ICANN 2012. ICANN 2012. Lecture Notes in Computer Science, vol 7552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33269-2_20
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DOI: https://doi.org/10.1007/978-3-642-33269-2_20
Publisher Name: Springer, Berlin, Heidelberg
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