Chimeras on a social-type network
- We consider a social-type network of coupled phase oscillators. Such a network consists of an active core of mutually interacting elements, and of a flock of passive units, which follow the driving from the active elements, but otherwise are not interacting. We consider a ring geometry with a long-range coupling, where active oscillators form a fluctuating chimera pattern. We show that the passive elements are strongly correlated. This is explained by negative transversal Lyapunov exponents.
| Author details: | Arkadij PikovskijORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1051/mmnp/2021012 |
| ISSN: | 0973-5348 |
| ISSN: | 1760-6101 |
| Title of parent work (English): | Mathematical modelling of natural phenomena : MMNP |
| Publisher: | EDP Sciences |
| Place of publishing: | Les Ulis |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2021/03/22 |
| Publication year: | 2021 |
| Release date: | 2023/07/14 |
| Tag: | Chimera; Lyapunov exponent; Network; correlations |
| Volume: | 16 |
| Article number: | 15 |
| Number of pages: | 9 |
| Funding institution: | Russian Science FoundationRussian Science Foundation (RSF) [17-12-01534]; DFGGerman Research Foundation (DFG)European Commission [PI 220/22-1] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
| Publishing method: | Open Access / Gold Open-Access |
| License (German): |  CC-BY - Namensnennung 4.0 International |
