TY  - JOUR
A1  - Omel'chenko, Oleh
A1  - Laing, Carlo R.
T1  - Collective states in a ring network of theta neurons
T2  - Proceedings of the Royal Society of London. Series A, Mathematical, physical and engineering sciences
N2  - 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.
KW  - theta neurons
KW  - neural networks
KW  - bumps
Y1  - 2022
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/58796
SN  - 1364-5021
SN  - 1471-2946
VL  - 478
IS  - 2259
PB  - Royal Society
CY  - London
ER  -