Synchrony and Periodicity in Excitable Neural Networks with Multiple Subpopulations
Name
DeVille-2014-Synchrony and Period.pdf
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648.27 KB
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Author(s)
DeVille, Lee
Zeng, Yi
Date Issued
July 2014
Journal
SIAM Journal on Applied Dynamical Systems
Publisher
Society for Industrial and Applied Mathematics
Citation
DeVille, Lee, and Yi Zeng. “Synchrony and Periodicity in Excitable Neural Networks with Multiple Subpopulations.” SIAM J. Appl. Dyn. Syst. 13, no. 3 (January 2014): 1060–1081. © 2014, Society for Industrial and Applied Mathematics
Version
Final published version
Abstract
We consider a cascading model of excitable neural dynamics and show that over a wide variety of parameter regimes, these systems admit unique attractors. For large coupling strengths, this attractor is a limit cycle, and for small coupling strengths, it is a fixed point. We also show that the cascading model considered here is a mean-field limit of an existing stochastic model.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1137/130943261
