Effects of delayed feedback on Kuramoto transition
- We develop a weakly nonlinear theory of the Kuramoto transition in an ensemble of globally coupled oscillators in presence of additional time-delayed coupling terms. We show that a linear delayed feedback not only controls the transition point, but effectively changes the nonlinear terms near the transition. A purely nonlinear delayed coupling does not effect the transition point, but can reduce or enhance the amplitude of collective oscillations
| Author details: | Denis S. GoldobinGND, Arkadij PikovskijORCiDGND |
|---|---|
| URL: | http://www2.yukawa.kyoto-u.ac.jp/~ptpwww/link-supplement.html |
| DOI: | https://doi.org/10.1143/PTPS.161.43 |
| ISSN: | 0375-9687 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2006 |
| Publication year: | 2006 |
| Release date: | 2017/03/24 |
| Source: | Progress of theoretical physics : supplement. - ISSN 0375-9687. - 161 (2006) S. 43 - 52 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
| Institution name at the time of the publication: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik |
