Stationary Bumps in Networks of Spiking Neurons

DOI10.1162/089976601750264974zbMath0978.92004OpenAlexW2160229024WikidataQ47892474 ScholiaQ47892474MaRDI QIDQ2746408

Publication date: 10 October 2001

Published in: Neural Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1162/089976601750264974

zbMATH Keywords

spiking neurons bumps localized time-stationary states

Mathematics Subject Classification ID

Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20)

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Cites Work