Collective states in a ring network of theta neurons

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Published version(6.91 MB)
Date
2022-03-09
DOI
10.1098/rspa.2021.0817
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Publisher
The Royal Society Publishing
Rights
(c) 2022 The Author/s
CC BY 4.0
https://creativecommons.org/licenses/by/4.0/
Abstract
We consider a ring network of theta neurons with non-local homogeneous coupling. We analyse the corresponding continuum evolution equation, analytically describing all possible steady states and their stability. By considering a number of different parameter sets, we determine the typical bifurcation scenarios of the network, and put on a rigorous footing some previously observed numerical results.
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Keywords
bumps, neural networks, theta neurons
Citation
Omel'chenko O, Laing CR. (2022). Collective states in a ring network of theta neurons.. Proc Math Phys Eng Sci. 478. 2259. (pp. 20210817-).
URI
https://mro.massey.ac.nz/handle/10179/69166
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