Solitary synchronization waves in distributed oscillator populations
- We demonstrate the existence of solitary waves of synchrony in one-dimensional arrays of oscillator populations with Laplacian coupling. Characterizing each community with its complex order parameter, we obtain lattice equations similar to those of the discrete nonlinear Schrodinger system. Close to full synchrony, we find solitary waves for the order parameter perturbatively, starting from the known phase compactons and kovatons; these solutions are extended numerically to the full domain of possible synchrony levels. For nonidentical oscillators, the existence of dissipative solitons is shown.
| Author details: | Lev A. SmirnovORCiD, Grigory V. OsipovORCiDGND, Arkadij PikovskijORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.98.062222 |
| ISSN: | 2470-0045 |
| ISSN: | 2470-0053 |
| 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 |
| Date of first publication: | 2018/12/27 |
| Publication year: | 2018 |
| Release date: | 2020/04/07 |
| Volume: | 98 |
| Issue: | 6 |
| Number of pages: | 7 |
| First page: | 062222-1 |
| Last Page: | 062222-7 |
| Funding institution: | Deutscher Akademischer Austausch Dienst (DAAD), Russian Science Foundation (RSF) |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer review: | Referiert |
| Publishing method: | Open Access |
| License (German): |  Keine öffentliche Lizenz: Unter Urheberrechtsschutz |
