Kuramoto Model on Smooth Curved Surfaces of High-dimensional Spaces

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.

关键词： high-dimensional Kuramoto model synchronization instability

作者: Jiandong Zhu

作者单位: School of Mathematical Sciences,Nanjing Normal University,Nanjing,210023,PR China

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 5845-5850

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）