Kuramoto Model on Smooth Curved Surfaces of High-dimensional Spaces

被引：0
作者：
Zhu, Jiandong [1 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
来源：
2014 33RD CHINESE CONTROL CONFERENCE (CCC) | 2014年
关键词：
high-dimensional Kuramoto model; synchronization; instability; COMPLETE SYNCHRONIZATION; NETWORKS; OSCILLATORS; STABILITY; DYNAMICS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a high-dimensional Kuramoto model limited on smooth curved surfaces is established. A necessary and sufficient condition of equilibria is obtained and the linearized system around an equilibrium is derived. As the considered smooth curved surface is an ellipsoid, some dynamical properties including limit behavior and instability are obtained. Based on those results, almost global synchronization is achieved. Moreover, numerical simulations are given to validate the obtained theoretical results.
引用
收藏
页码：5845 / 5850
页数：6
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