Collective states in a ring network of theta neurons.
Oleh E Omel'chenkoCarlo R LaingPublished in: Proceedings. Mathematical, physical, and engineering sciences (2022)
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.