Omel'chenko OLaing CR2023-11-152023-11-202022-03-092023-11-152023-11-202022-03-09Omel'chenko O, Laing CR. (2022). Collective states in a ring network of theta neurons.. Proc Math Phys Eng Sci. 478. 2259. (pp. 20210817-).1364-5021https://mro.massey.ac.nz/handle/10179/69166We 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.(c) 2022 The Author/sCC BY 4.0https://creativecommons.org/licenses/by/4.0/bumpsneural networkstheta neuronsJournal article10.1098/rspa.2021.08171471-2946journal-article20210817-https://www.ncbi.nlm.nih.gov/pubmed/35280327ARTN 20210817rspa20210817