Effects of scale-free topological properties on dynamical synchronization and control in coupled map lattices

被引：0
|
作者：
Chen Wei
Fang Jin-Qing [1 ]
Kang Ge-Wen
机构：
[1] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 610054, Peoples R China
[2] Inst Atom Energy, Beijing 102413, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2007年 / 47卷 / 02期
关键词：
scale-free network; coupled map lattice; dynamical synchronization; feedback control; time-delayed feedback;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the paper, we study effects of scale-free (SF) topology on dynamical synchronization and control in coupled map lattices (CML) Our strategy is to apply three feedback control methods, including constant feedback and two types of time-delayed feedback, to a small fraction of network nodes to reach desired synchronous state. Two controlled bifurcation diagrams verses feedback strength are obtained respectively. It is found that the value of critical feedback strength gamma(c), for the first time-delayed feedback control is increased linearly as s is increased linearly. The CML with SF loses synchronization and intermittency occurs if gamma > gamma(c). Numerical examples are presented to demonstrate all results.
引用
收藏
页码：361 / 368
页数：8
相关论文
共 50 条
  • [1] Effects of Scale-Free Topological Properties on Dynamical Synchronization and Control in Coupled Map Lattices
    CHEN Wei~1 FANG Jin-Qing~(2
    CommunicationsinTheoreticalPhysics, 2007, 47 (02) : 361 - 368
  • [2] Synchronization in delayed map lattices with scale-free interactions
    Sun, Weigang
    Yang, Yueying
    Li, Changpin
    Fang, Jinqing
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2010, 45 (06) : 652 - 658
  • [3] Cascading failures in scale-free coupled map lattices
    Xu, H
    Wang, XF
    2005 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), VOLS 1-6, CONFERENCE PROCEEDINGS, 2005, : 3395 - 3398
  • [4] Cascading failures in scale-free coupled map lattices
    Xu, J
    Wang, XF
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 349 (3-4) : 685 - 692
  • [5] On synchronization of scale-free dynamical networks
    Fan, J
    Wang, XF
    2004 8TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION, VOLS 1-3, 2004, : 595 - 600
  • [6] On synchronization in scale-free dynamical networks
    Fan, J
    Wang, XF
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 349 (3-4) : 443 - 451
  • [7] Synergetic behavior in the cascading failure propagation of scale-free coupled map lattices
    Bao, Z. J.
    Cao, Y. J.
    Ding, L. J.
    Wang, G. Z.
    Han, Z. X.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (23) : 5922 - 5929
  • [8] Spectral properties and synchronization in coupled map lattices
    Jost, J
    Joy, MP
    PHYSICAL REVIEW E, 2002, 65 (01):
  • [9] Synchronization in scale-free dynamical networks: Robustness and fragility
    Wang, XF
    Chen, GR
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (01) : 54 - 62
  • [10] Synchronization of coupled map lattices
    Baraviera, Alexandre
    Duarte, Pedro
    Torres, Maria Joana
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2023, 66 (01) : 143 - 163
12345