Grouping synchronization in a pulse-coupled network of chaotic spiking oscillators
IEEE Transactions on Neural Networks
Which model to use for cortical spiking neurons?
IEEE Transactions on Neural Networks
Bifurcation Analysis of a Resonate-and-Fire-Type Digital Spiking Neuron
ICONIP '09 Proceedings of the 16th International Conference on Neural Information Processing: Part II
A novel hybrid spiking neuron: bifurcations, responses, and on-chip learning
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Theoretical analysis of various synchronizations in pulse-coupled digital spiking neurons
ICONIP'10 Proceedings of the 17th international conference on Neural information processing: theory and algorithms - Volume Part I
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A hybrid spiking neuron is a wired system of shift registers and behaves like a neuron model. The neuron exhibits various bifurcation phenomena and response characteristics for a stimulation spike-train input. In this paper we formulate some typical bifurcation mechanisms and clarify these mechanisms by using discrete/continuous hybrid maps. Based on the analysis results, we can clarify mechanisms of various responses of the neuron. In addition, we propose a novel online learning algorithm of the neuron and show that the neuron can reconstruct or approximate response characteristics of another neuron with unknown parameter values.