Global synchronization in lattices of coupled chaotic systems

被引：13
|
作者：
Juang, Jonq [1 ]
Li, Chin-Lung [1 ]
Liang, Yu-Hao [1 ]
机构：
[1] Natl Chiao Tung Univ, Dept Math Appl, Hsinchu 300, Taiwan
来源：
CHAOS | 2007年 / 17卷 / 03期
关键词：
D O I：
10.1063/1.2754668
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the concept of matrix measures, we study global stability of synchronization in networks. Our results apply to quite general connectivity topology. In addition, a rigorous lower bound on the coupling strength for global synchronization of all oscillators is also obtained. Moreover, by merely checking the structure of the vector field of the single oscillator, we shall be able to determine if the system is globally synchronized.
引用
收藏
页数：11
相关论文
共 50 条
  • [21] Fast synchronization of directionally coupled chaotic systems
    Cheng, S.
    Ji, J. C.
    Zhou, J.
    APPLIED MATHEMATICAL MODELLING, 2013, 37 (1-2) : 127 - 136
  • [22] Linearly Coupled Synchronization of the New Chaotic Systems
    LU Jun-an~1
    2. School of Water Resources and Hydropower
    Wuhan University Journal of Natural Sciences, 2005, (06) : 52 - 55
  • [23] Impulsive synchronization of nonlinear coupled chaotic systems
    Li, CD
    Liao, XF
    Zhang, R
    PHYSICS LETTERS A, 2004, 328 (01) : 47 - 50
  • [24] Detecting local synchronization in coupled chaotic systems
    Pastur, L
    Boccaletti, S
    Ramazza, PL
    PHYSICAL REVIEW E, 2004, 69 (03): : 036201 - 1
  • [25] Chaotic synchronization of mutually coupled nonchaotic systems
    Takahisa, Keishi
    Umeno, Ken
    JSIAM LETTERS, 2024, 16 : 33 - 36
  • [26] Loss of lag synchronization in coupled chaotic systems
    Sosnovtseva, OV
    Balanov, AG
    Vadivasova, TE
    Astakhov, VV
    Mosekilde, E
    PHYSICAL REVIEW E, 1999, 60 (06) : 6560 - 6565
  • [27] The theory of wavelet transform method on chaotic synchronization of coupled map lattices
    Juang, Jonq
    Li, Chin-Lung
    JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (01)
  • [28] Phase synchronization of two-dimensional lattices of coupled chaotic maps
    Hu, Bambi
    Liu, Zonghua
    Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 2000, 62 (2 A): : 2114 - 2118
  • [29] Controlling projective synchronization in coupled chaotic systems
    Zou Yan-Li
    Zhu Jie
    CHINESE PHYSICS, 2006, 15 (09): : 1965 - 1970
  • [30] The synchronization of linearly bidirectional coupled chaotic systems
    Yu, YG
    Zhang, SC
    CHAOS SOLITONS & FRACTALS, 2004, 22 (01) : 189 - 197
12345