Moving bumps in theta neuron networks
- We consider large networks of theta neurons on a ring, synaptically coupled with an asymmetric kernel. Such networks support stable "bumps" of activity, which move along the ring if the coupling kernel is asymmetric. We investigate the effects of the kernel asymmetry on the existence, stability, and speed of these moving bumps using continuum equations formally describing infinite networks. Depending on the level of heterogeneity within the network, we find complex sequences of bifurcations as the amount of asymmetry is varied, in strong contrast to the behavior of a classical neural field model.
| Author details: | Carlo R. LaingORCiDGND, Oleh Omel'chenkoORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1063/1.5143261 |
| ISSN: | 1054-1500 |
| ISSN: | 1089-7682 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/32357659 |
| Title of parent work (English): | Chaos : an interdisciplinary journal of nonlinear science |
| Publisher: | American Institute of Physics |
| Place of publishing: | Melville |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2020/04/14 |
| Publication year: | 2020 |
| Release date: | 2023/03/31 |
| Volume: | 30 |
| Issue: | 4 |
| Number of pages: | 11 |
| Funding institution: | Deutsche ForschungsgemeinschaftGerman Research Foundation (DFG) [OM; 99/2-1] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer review: | Referiert |
