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 bifurcation scenarios of the network, and put on a rigorous footing some previously observed numerical results.
| Author details: | Oleh Omel'chenkoORCiDGND, Carlo R. LaingORCiD |
|---|---|
| DOI: | https://doi.org/10.1098/rspa.2021.0817 |
| ISSN: | 1364-5021 |
| ISSN: | 1471-2946 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/35280327 |
| Title of parent work (English): | Proceedings of the Royal Society of London. Series A, Mathematical, physical and engineering sciences |
| Publisher: | Royal Society |
| Place of publishing: | London |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2022/03/09 |
| Publication year: | 2022 |
| Release date: | 2023/04/17 |
| Tag: | bumps; neural networks; theta neurons |
| Volume: | 478 |
| Issue: | 2259 |
| Article number: | 20210817 |
| Number of pages: | 23 |
| Funding institution: | Deutsche Forschungsgemeinschaft [OM 99/2-1] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik | |
| Peer review: | Referiert |
| Publishing method: | Open Access / Hybrid Open-Access |
| License (German): |  CC-BY - Namensnennung 4.0 International |
