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Synchrony and Periodicity in Excitable Neural Networks with Multiple Subpopulations

Author(s)
DeVille, Lee; Zeng, Yi
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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.
Date issued
2014-07
URI
http://hdl.handle.net/1721.1/92542
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
1536-0040

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