非均匀Kuramoto振子系统的频率同步  

Frequency Synchronization of Inhomogeneous Kuramoto Oscillators

作　　者：熊河浪 张华 XIONG Helang;ZHANG Hua(College of Science,Chongqing University of Technology,Chongqing 400054,China)

机构地区：[1]重庆理工大学理学院,重庆400054

出　　处：《重庆理工大学学报（自然科学）》2021年第8期230-236,共7页Journal of Chongqing University of Technology：Natural Science

基　　金：重庆市教委科学技术研究项目(KJQN201901122);重庆市自然科学基金面上项目(cstc2019jcyj-msxmX0020);国家自然科学基金项目(61364003)。

摘　　要：运用同步流形的局部指数稳定性理论、不动点理论,讨论了Kuramoto振子模型的频率同步问题。首先,通过重新定义振子频率同步和频率锁相,给出了一个使系统达到频率同步的充分条件。其次,将结果和奇异摄动方法得到的结果进行对比,发现在一定条件下惯性项对系统频率同步的影响不明显。最后,数值模拟进一步验证了所给充分条件的有效性和正确性。By using local exponential stability theory and fixed point theory of synchronous manifold,the frequency synchronization problem of Kuramoto oscillator model are discussed.The oscillator frequency synchronization and frequency phase locking are redefined,and a sufficient condition for the system to achieve frequency synchronization is given.By comparing the results of this paper with the results obtained by singular perturbation method,it is found that the influence of inertial terms on synchronization is not obvious under certain conditions.Finally,the validity and correctness of sufficient conditions are verified by numerical simulation.

关 键 词：Kuramoto振子 频率同步 惯性项 代数连通性 

分 类 号：O157.5[理学—数学]