التفاصيل البيبلوغرافية
| العنوان: |
Multiple Self-Locking in the Kuramoto--Sakaguchi System with Delay. |
| المؤلفون: |
Wolfrum, Matthias, Yanchuk, Serhiy, D'Huys, Otti |
| المصدر: |
SIAM Journal on Applied Dynamical Systems; 2022, Vol. 21 Issue 3, p1709-1725, 17p |
| مصطلحات موضوعية: |
HOPF bifurcations, MODULATIONAL instability, SYNCHRONIZATION |
| مستخلص: |
We study the Kuramoto--Sakaguchi system of phase oscillators with a delayed mean-field coupling. By applying the theory of large delay to the corresponding Ott--Antonsen equation, we explain fully analytically the mechanisms for the appearance of multiple coexisting partially locked states. Closely above the onset of synchronization, these states emerge in the Eckhaus scenario: With increasing coupling, more and more partially locked states appear unstable from the incoherent state and gain stability for larger coupling at a modulational stability boundary. The partially locked states with strongly detuned frequencies are shown to emerge subcritical and gain stability only after a fold and a series of Hopf bifurcations. We also discuss the role of the Sakaguchi phase lag parameter. For small delays, it determines, together with the delay time, the attraction or repulsion to the central frequency, which leads to supercritical or subcritical behavior, respectively. For large delay, the Sakaguchi parameter does not influence the global dynamical scenario. [ABSTRACT FROM AUTHOR] |
|
Copyright of SIAM Journal on Applied Dynamical Systems is the property of Society for Industrial & Applied Mathematics and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| قاعدة البيانات: |
Complementary Index |
