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 |
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| container_end_page | 20210817 |
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| container_issue | 2259 |
| container_start_page | 20210817 |
| container_title | Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences |
| container_volume | 478 |
| creator | Omel'chenko, Oleh Laing, Carlo R |
| description | 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. |
| doi_str_mv | 10.1098/rspa.2021.0817 |
| format | Article |
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| ispartof | Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2022-03, Vol.478 (2259), p.20210817-20210817 |
| issn | 1364-5021 1471-2946 |
| language | eng |
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| source | Alma/SFX Local Collection |
| title | Collective states in a ring network of theta neurons |
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