Synchronization of a Kuramoto type model in a dynamic network

被引：0
作者：
Jin, Chunyin [1 ]
Wu, Yang [1 ]
机构：
[1] China Agr Univ, Coll Sci, Beijing 100083, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2025年 / 66卷 / 01期
关键词：
PHASE-LOCKED STATES; TIME-DELAY; OSCILLATORS; STABILITY; SYSTEMS; TRANSITIONS; SPECTRUM;
D O I：
10.1063/5.0199957
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study the synchronization behavior of identical Kuramoto oscillators in a dynamic network. Our model is a variant of the classical Kuramoto model. Using the spectral gap of a connected stochastic matrix, we present a sufficient framework for synchronization in terms of initial data and model parameters. Moreover, we show that the system achieves a synchronous state at an exponential rate.
引用
收藏
页数：9
相关论文
共 43 条
  • [1] The Kuramoto model:: A simple paradigm for synchronization phenomena
    Acebrón, JA
    Bonilla, LL
    Vicente, CJP
    Ritort, F
    Spigler, R
    [J]. REVIEWS OF MODERN PHYSICS, 2005, 77 (01) : 137 - 185
  • [2] Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
    Albi, G.
    Bellomo, N.
    Fermo, L.
    Ha, S. -Y.
    Kim, J.
    Pareschi, L.
    Poyato, D.
    Soler, J.
    [J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2019, 29 (10) : 1901 - 2005
  • [3] Synchronization in complex networks
    Arenas, Alex
    Diaz-Guilera, Albert
    Kurths, Jurgen
    Moreno, Yamir
    Zhou, Changsong
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2008, 469 (03): : 93 - 153
  • [4] ON THE COMPLETE PHASE SYNCHRONIZATION FOR THE KURAMOTO MODEL IN THE MEAN-FIELD LIMIT
    Benedetto, Dario
    Caglioti, Emanuele
    Montemagno, Umberto
    [J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2015, 13 (07) : 1775 - 1786
  • [5] Huygens's clocks
    Bennett, M
    Schatz, MF
    Rockwood, H
    Wiesenfeld, K
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2002, 458 (2019): : 563 - 579
  • [6] SYNCHRONOUS RHYTHMIC FLASHING OF FIREFLIES .2.
    BUCK, J
    [J]. QUARTERLY REVIEW OF BIOLOGY, 1988, 63 (03) : 265 - 289
  • [7] Contractivity of Transport Distances for the Kinetic Kuramoto Equation
    Carrillo, Jose A.
    Choi, Young-Pil
    Ha, Seung-Yeal
    Kang, Moon-Jin
    Kim, Yongduck
    [J]. JOURNAL OF STATISTICAL PHYSICS, 2014, 156 (02) : 395 - 415
  • [8] A proof of the Kuramoto conjecture for a bifurcation structure of the infinite-dimensional Kuramoto model
    Chiba, Hayato
    [J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2015, 35 : 762 - 834
  • [9] Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
    Choi, Young-Pil
    Ha, Seung-Yeal
    Jung, Sungeun
    Kim, Yongduck
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2012, 241 (07) : 735 - 754
  • [10] Complete synchronization of Kuramoto oscillators with finite inertia
    Choi, Young-Pit
    Ha, Seung-Yeal
    Yun, Seok-Bae
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2011, 240 (01) : 32 - 44
12345