Theoretical analysis of various synchronizations in pulse-coupled digital spiking neurons

Authors:
Hirofumi Ijichi;Hiroyuki Torikai
Affiliations:
Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan;Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan
Venue:
ICONIP'10 Proceedings of the 17th international conference on Neural information processing: theory and algorithms - Volume Part I
Year:
2010

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Abstract

A digital spiking neuron is a wired system of shift registers that can mimic nonlinear dynamics of simplified spiking neuron models. In this paper, we present a novel pulse-coupled system of the digital spiking neurons. The coupled neurons can exhibit various pseudoperiodic synchronizations, non-periodic synchronizations, and related bifurcations. We derive theoretical parameter conditions that guarantee occurrence of typical synchronization phenomena. Also, the theoretical results are validated by numerical simulations.