January  2008, 9(1): 183-198. doi: 10.3934/dcdsb.2008.9.183

Basic spike-train properties of a digital spiking neuron

1. 

Graduate School of Engineering Science, Osaka University, Osaka, Japan

Received  March 2006 Revised  November 2006 Published  October 2007

A digital spiking neuron is used to generate spike-trains of variable spike-intervals. Multiple co-existing periodic spike-trains are observed, depending on initial states. By focusing on a simple parameter case, we clarify the number of co-existing periodic spike-trains and determine their periods theoretically. Using a spike-interval modulation, the spike-train is coded by a digital sequence. We clarify that the set of co-existing periodic spike-trains is in a one-to-one relation to a set of binary numbers. We finally discuss to what extent these theoretical results may provide the mathematical basis for technological applications.
Citation: Hiroyuki Torikai. Basic spike-train properties of a digital spiking neuron. Discrete & Continuous Dynamical Systems - B, 2008, 9 (1) : 183-198. doi: 10.3934/dcdsb.2008.9.183
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