Marginal chimera state at cross-frequency locking of pulse-coupled neural networks
- We consider two coupled populations of leaky integrate-and-fire neurons. Depending on the coupling strength, mean fields generated by these populations can have incommensurate frequencies or become frequency locked. In the observed 2:1 locking state of the mean fields, individual neurons in one population are asynchronous with the mean fields, while in another population they have the same frequency as the mean field. These synchronous neurons form a chimera state, where part of them build a fully synchronized cluster, while other remain scattered. We explain this chimera as a marginal one, caused by a self-organized neutral dynamics of the effective circle map.
| Author details: | M. I. Bolotov, Grigory V. OsipovORCiDGND, Arkadij PikovskijORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.93.032202 |
| ISSN: | 2470-0045 |
| ISSN: | 2470-0053 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/27078339 |
| Title of parent work (English): | Physical review : E, Statistical, nonlinear and soft matter physics |
| Publisher: | American Physical Society |
| Place of publishing: | College Park |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2016 |
| Publication year: | 2016 |
| Release date: | 2020/03/22 |
| Volume: | 93 |
| Number of pages: | 6 |
| Funding institution: | ITN COSMOS (European Unions Horizon research and innovation programme under the Marie Sklodowska-Curie Grant) [642563]; Russian Science Foundation [14-12-00811] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
