Browsing by Author "Omel'chenko O"
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- ItemCollective states in a ring network of theta neurons(The Royal Society Publishing, 2022-03-09) Omel'chenko O; Laing CRWe 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.