Remarks on the complete synchronization of Kuramoto oscillators
2015.07.28 16:14
| 실적년도 | 2015 |
|---|---|
| 논문구분 | 국외 |
| 총저자 | Seung-Yeal Ha, Hwa Kil Kim, Jinyeong Park |
| 학술지명 | Nonlinearity |
| 권(Vol.) | 28 |
| 호(No.) | |
| 게재년월 | 2015년 5월 |
| Impact Factor | 1.208 |
| SCI 등재 | SCI |
| 비고 | pp.1441-1462 |
We present an improved exponential frequency synchronization estimate for globally coupled Kuramoto oscillators. For a sufficiently large coupling, it is numerically observed that Kuramoto oscillators exhibit relaxation toward the phase-locked state, independent of the initial configuration. This phenomenon has never been confirmed analytically in full generality. To date, the analytical treatment of complete frequency synchronization is restricted to initial configurations that are geometrically confined to the half-unit circle. We extend this previous work (Choi et al 2012 Physica D 241 735–54 and
Chopra and Spong 2009 IEEE Trans. Autom. Control 54 353–7) to a class of initial configurations lying on an arc of length greater than π by exploiting the dynamics of the Kuramoto order parameter in a finite-dimensional setting.
