Exponential synchronization for nonidentical high-dimensional Kuramoto model

被引:4
|
作者
Wei, Xinmiao [1 ]
Peng, Shanshan [2 ]
Zhu, Jiandong [1 ]
机构
[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
[2] Southeast Univ, Sch Math, Nanjing, Peoples R China
关键词
Nonidentical high-dimensional Kuramoto; model; Exponential synchronization; Strongly connected digraph; IDENTICAL OSCILLATORS; STABILITY;
D O I
10.1016/j.sysconle.2023.105554
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper investigates exponential synchronization for a group of nonidentical high-dimensional Kuramoto oscillators interconnected by a digraph. A set of matrix differential equations for synchronization errors is established. Under the assumption of strong connectivity of the digraph, the exponential synchronization is proved, and the synchronization rate is calculated. (c) 2023 Published by Elsevier B.V.
引用
收藏
页数:8
相关论文
共 50 条
  • [41] Synchronization Properties of Trees in the Kuramoto Model
    Dekker, Anthony H.
    Taylor, Richard
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2013, 12 (02): : 596 - 617
  • [42] On the complete synchronization of the Kuramoto phase model
    Ha, Seung-Yeal
    Ha, Taeyoung
    Kim, Jong-Ho
    PHYSICA D-NONLINEAR PHENOMENA, 2010, 239 (17) : 1692 - 1700
  • [43] Independent screening in high-dimensional exponential family predictors' space
    Adragni, Kofi Placid
    JOURNAL OF APPLIED STATISTICS, 2015, 42 (02) : 347 - 359
  • [44] pETM: a penalized Exponential Tilt Model for analysis of correlated high-dimensional DNA methylation data
    Sun, Hokeun
    Wang, Ya
    Chen, Yong
    Li, Yun
    Wang, Shuang
    BIOINFORMATICS, 2017, 33 (12) : 1765 - 1772
  • [45] Enhanced synchronization-inspired clustering for high-dimensional data
    Lei Chen
    Qinghua Guo
    Zhaohua Liu
    Shiwen Zhang
    Hongqiang Zhang
    Complex & Intelligent Systems, 2021, 7 : 203 - 223
  • [46] Enhanced synchronization-inspired clustering for high-dimensional data
    Chen, Lei
    Guo, Qinghua
    Liu, Zhaohua
    Zhang, Shiwen
    Zhang, Hongqiang
    COMPLEX & INTELLIGENT SYSTEMS, 2021, 7 (01) : 203 - 223
  • [47] Fix-speed flocking of high-dimensional Kuramoto oscillator systems with proximity graph
    Zhang, Jinxing
    SYSTEMS & CONTROL LETTERS, 2024, 191
  • [48] Analysis of chaotic saddles in high-dimensional dynamical systems: The Kuramoto-Sivashinsky equation
    Rempel, EL
    Chian, ACL
    Macau, EEN
    Rosa, RR
    CHAOS, 2004, 14 (03) : 545 - 556
  • [49] High-dimensional Kuramoto models on Stiefel manifolds synchronize complex networks almost globally
    Markdahl, Johan
    Thunberg, Johan
    Goncalves, Jorge
    AUTOMATICA, 2020, 113
  • [50] Exponential Dephasing of Oscillators in the Kinetic Kuramoto Model
    Dario Benedetto
    Emanuele Caglioti
    Umberto Montemagno
    Journal of Statistical Physics, 2016, 162 : 813 - 823