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
来源：
SYSTEMS & CONTROL LETTERS | 2023年 / 177卷
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
  • [31] Phase synchronization in the two-dimensional Kuramoto model: Vortices and duality
    Sarkar, Mrinal
    Gupte, Neelima
    PHYSICAL REVIEW E, 2021, 103 (03)
  • [32] Inference for High-dimensional Exponential Family Graphical Models
    Wang, Jialei
    Kolar, Mladen
    ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 51, 2016, 51 : 1042 - 1050
  • [33] Local exponential synchronization rate of commutative Kuramoto oscillators on spheres
    Shi, Yushi
    Li, Xueyan
    Li, Ting
    Zhu, Jiandong
    SYSTEMS & CONTROL LETTERS, 2024, 190
  • [34] Synchronization of high-dimensional chaos generators by observer design
    Grassi, G
    Mascolo, S
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (06): : 1175 - 1180
  • [35] Exponential synchronization of Kuramoto oscillators using spatially local coupling
    Kim, Jong-Ho
    Park, Jea-Hyun
    PHYSICA D-NONLINEAR PHENOMENA, 2014, 277 : 40 - 47
  • [36] Using Synchronization for Prediction of High-Dimensional Chaotic Dynamics
    Cohen, Adam B.
    Ravoori, Bhargava
    Murphy, Thomas E.
    Roy, Rajarshi
    PHYSICAL REVIEW LETTERS, 2008, 101 (15)
  • [37] DOMAINS AND SYNCHRONIZATION IN HIGH-DIMENSIONAL CELLULAR-AUTOMATA
    BINDER, PM
    PHYSICAL REVIEW E, 1995, 51 (02): : R839 - R840
  • [38] CLUSTER SYNCHRONY OF HIGH-DIMENSIONAL KURAMOTO MODELS WITH HIGHER-ORDER COUPLINGS
    Kim, Dohyun
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, 59 (06) : 4110 - 4135
  • [39] Explosive synchronization coexists with classical synchronization in the Kuramoto model
    Danziger, Michael M.
    Moskalenko, Olga I.
    Kurkin, Semen A.
    Zhang, Xiyun
    Havlin, Shlomo
    Boccaletti, Stefano
    CHAOS, 2016, 26 (06)
  • [40] The Synchronization Process in a Generalized Kuramoto Model
    Wang Jizhong
    Zhao, Xueyi
    Zhou, Jin
    Lu, Jun'an
    IECON 2017 - 43RD ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY, 2017, : 7509 - 7513
12345