Inertial effect on frequency synchronization for the second-order Kuramoto model with local coupling
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- 作者：Rui Wang ; Wen-Xin Qin
- 关键词：Kuramoto model ; Coupled oscillators ; Frequency synchronization ; Inertial effect ; Algebraic connectivity
- 刊名：Zeitschrift für angewandte Mathematik und Physik
- 出版年：2017
- 出版时间：April 2017
- 年：2017
- 卷：68
- 期：2
- 全文大小：
- 刊物主题：Theoretical and Applied Mechanics; Mathematical Methods in Physics;
- 出版者：Springer International Publishing
- ISSN：1420-9039
- 卷排序：68
文摘
In this paper, we study the influence of the inertial effect on frequency synchronization in an ensemble of Kuramoto oscillators with finite inertia and symmetric and connected interactions. We present sufficient conditions in terms of coupling strength, algebraic connectivity, natural frequencies, and the inertial term to guarantee the occurrence of frequency synchronization. We also make a comparison with the existing conditions proposed for the first-order Kuramoto model and conclude that the inertial effect, if appropriately small, has little influence on frequency synchronization as long as the initial phase configurations are distributed in a half circle.