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
相关论文
共 50 条
  • [41] Causality from phases of high-dimensional nonlinear systems
    Vlachos, Ioannis
    Kugiumtzis, Dimitris
    Palus, Milan
    INFORMATION SCIENCES, 2025, 697
  • [42] Collision-free poisson motion planning in ultra high-dimensional molecular conformation spaces
    Fonseca, Rasmus
    Budday, Dominik
    van den Bedem, Henry
    JOURNAL OF COMPUTATIONAL CHEMISTRY, 2018, 39 (12) : 711 - 720
  • [43] Long time behavior and stable patterns in high-dimensional polarity models of asymmetric cell division
    Morita, Yoshihisa
    Seirin-Lee, Sungrim
    JOURNAL OF MATHEMATICAL BIOLOGY, 2021, 82 (07)
  • [44] High-dimensional random Apollonian networks
    Zhang, ZZ
    Rong, LL
    Comellas, F
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 364 : 610 - 618
  • [45] Using a high-dimensional graph of semantic space to model relationships among words
    Jackson, Alice F.
    Bolger, Donald J.
    FRONTIERS IN PSYCHOLOGY, 2014, 5
  • [46] Fast and scalable learning of sparse changes in high-dimensional graphical model structure
    Wang, Beilun
    Zhang, Jiaqi
    Xu, Haoqing
    Tao, Te
    NEUROCOMPUTING, 2022, 514 : 39 - 57
  • [47] EFFICIENT GREEDY ALGORITHMS FOR HIGH-DIMENSIONAL PARAMETER SPACES WITH APPLICATIONS TO EMPIRICAL INTERPOLATION AND REDUCED BASIS METHODS
    Hesthaven, Jan S.
    Stamm, Benjamin
    Zhang, Shun
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2014, 48 (01): : 259 - 283
  • [48] Effects of topological characteristics on rhythmic states of the D-dimensional Kuramoto model in complex networks
    Ling, Xiang
    Ju, Wen-Bin
    Guo, Ning
    Zhu, Kong-Jin
    Wu, Chao-Yun
    Hao, Qing-Yi
    CHAOS, 2022, 32 (01)
  • [49] Stability analysis of amplitude death in delay-coupled high-dimensional map networks and their design procedure
    Watanabe, Tomohiko
    Sugitani, Yoshiki
    Konishi, Keiji
    Hara, Naoyuki
    PHYSICA D-NONLINEAR PHENOMENA, 2017, 338 : 26 - 33
  • [50] Low-dimensional behavior of Kuramoto model with inertia in complex networks
    Ji, Peng
    Peron, Thomas K. D. M.
    Rodrigues, Francisco A.
    Kurths, Juergen
    SCIENTIFIC REPORTS, 2014, 4
12345