Collective states in a ring network of theta neurons

Collective states in a ring network of theta neurons

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 bifurcatio...

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Veröffentlicht in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2022-03, Vol.478 (2259), p.20210817-20210817
Hauptverfasser: Omel'chenko, Oleh, Laing, Carlo R
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1364-5021
1471-2946
DOI:10.1098/rspa.2021.0817