Stability analysis of periodic orbits in digital spiking neurons

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Abstract

This paper considers stability of various periodic spike-trains from digital spiking neuron constructed by two coupled shift registers. The dynamics is integrated into a digital spike map defined on a set of points. In order to analyze the stability, we introduce two simple feature quantities that characterize plentifulness and superstability of the periodic spike-trains. Using the feature quantities, stability of typical examples is investigated.

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Hamaguchi, T., Yamaoka, K., & Saito, T. (2016). Stability analysis of periodic orbits in digital spiking neurons. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9948 LNCS, pp. 334–341). Springer Verlag. https://doi.org/10.1007/978-3-319-46672-9_38

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