Transient sequences in a hypernetwork generated by an adaptive network of spiking neurons

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
Oleg V MaslennikovVladimir I Nekorkin

Abstract

We propose a model of an adaptive network of spiking neurons that gives rise to a hypernetwork of its dynamic states at the upper level of description. Left to itself, the network exhibits a sequence of transient clustering which relates to a traffic in the hypernetwork in the form of a random walk. Receiving inputs the system is able to generate reproducible sequences corresponding to stimulus-specific paths in the hypernetwork. We illustrate these basic notions by a simple network of discrete-time spiking neurons together with its FPGA realization and analyse their properties.This article is part of the themed issue 'Mathematical methods in medicine: neuroscience, cardiology and pathology'.

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Citations

May 17, 2017·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·José M Amigó, Michael Small
Apr 2, 2018·Chaos·Oleg V MaslennikovJürgen Kurths
Jan 3, 2019·Chaos·Oleg V Maslennikov, Vladimir I Nekorkin
May 20, 2021·Physical Review. E·Vladimir KlinshovVladimir Nekorkin

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