Effects of Scale-Free Topological Properties on Dynamical Synchronization and Control in Coupled Map Lattices

被引:0
|
作者
CHEN Wei~1 FANG Jin-Qing~(2
机构
基金
中国国家自然科学基金;
关键词
scale-free network; coupled map lattice; dynamical synchronization; feedback control; timedelayed feedback;
D O I
暂无
中图分类号
O189 [拓扑(形势几何学)];
学科分类号
070104 ;
摘要
In the paper,we study effects of scale-free (SF) topology on dynamical synchronization and control incoupled map lattices (CIVIL).Our strategy is to apply three feedback control methods,including constant feedbackand two types of time-delayed feedback,to a small fraction of network nodes to reach desired synchronous state.Twocontrolled bifurcation diagrams verses feedback strength are obtained respectively.It is found that the value of criticalfeedback strength γ;for the first time-delayed feedback control is increased linearly as e is increased linearly.The CIVILwith SF loses synchronization and intermittency occurs if γ>γ;.Numerical examples are presented to demonstrate allresults.
引用
收藏
页码:361 / 368
页数:8
相关论文
共 50 条
  • [41] Lifted lattices, hyperbolic structures, and topological disorders in coupled map lattices
    Auburn Univ, Auburn University, United States
    SIAM J Appl Math, 5 (1379-1399):
  • [42] Influence of impurities on the dynamics and synchronization of coupled map lattices
    Jousseph, CAC
    Pinto, SED
    Martins, LC
    Beims, MW
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 317 (3-4) : 401 - 410
  • [43] Synchronization in scale-free networks: The role of finite-size effects
    Torres, D.
    Di Muro, M. A.
    La Rocca, C. E.
    Braunstein, L. A.
    EPL, 2015, 110 (06)
  • [44] Noise-driven synchronization in coupled map lattices
    Baroni, L
    Livi, R
    Torcini, A
    DYNAMICAL SYSTEMS: FROM CRYSTAL TO CHAOS, 2000, : 23 - 33
  • [45] Synchronization of spatiotemporal chaos in asymmetrically coupled map lattices
    Jiang, Y
    Parmananda, P
    PHYSICAL REVIEW E, 1998, 57 (04): : 4135 - 4139
  • [46] Anti-phase synchronization in coupled map lattices
    Liu, J
    Ye, C
    Zhang, S
    Song, W
    PHYSICS LETTERS A, 2000, 274 (1-2) : 27 - 29
  • [47] Synchronization in coupled map lattices with periodic boundary condition
    Lin, WW
    Peng, CC
    Wang, CS
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (08): : 1635 - 1652
  • [48] Zero delay synchronization of chaos in coupled map lattices
    Santhanam, M. S.
    Arora, Siddharth
    PHYSICAL REVIEW E, 2007, 76 (02):
  • [49] Phase synchronization in inhomogeneous globally coupled map lattices
    Ho, MC
    Hung, YC
    Jiang, IM
    PHYSICS LETTERS A, 2004, 324 (5-6) : 450 - 457
  • [50] Extreme value theory for synchronization of coupled map lattices
    Faranda, D.
    Ghoudi, H.
    Guiraud, P.
    Vaienti, S.
    NONLINEARITY, 2018, 31 (07) : 3326 - 3358