Control and synchronization of spatiotemporal chaos

被引:16
|
作者
Ahlborn, Alexander [1 ]
Parlitz, Ulrich [1 ]
机构
[1] Univ Gottingen, Drittes Phys Inst, D-37077 Gottingen, Germany
来源
PHYSICAL REVIEW E | 2008年 / 77卷 / 01期
关键词
D O I
10.1103/PhysRevE.77.016201
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Chaos control methods for the Ginzburg-Landau equation are presented using homogeneously, inhomogeneously, and locally applied multiple delayed feedback signals. In particular, it is shown that a small number of control cells is sufficient for stabilizing plane waves or for trapping spiral waves, and that successful control is closely connected to synchronization of the dynamics in regions close to the control cells.
引用
收藏
页数:7
相关论文
共 50 条
  • [11] Impulsive Control and Synchronization of Spatiotemporal Chaos in the Gray-Scott Model
    Zhang, Kexue
    Liu, Xinzhi
    Xie, Wei-Chau
    INTERDISCIPLINARY TOPICS IN APPLIED MATHEMATICS, MODELING AND COMPUTATIONAL SCIENCE, 2015, 117 : 549 - 555
  • [12] Synchronization of spatiotemporal chaos and its applications
    Hu, G
    Xiao, JH
    Yang, JZ
    Xie, FG
    Qu, ZL
    PHYSICAL REVIEW E, 1997, 56 (03) : 2738 - 2746
  • [13] Spatiotemporal chaos synchronization of an uncertain network based on sliding mode control
    吕翎
    于淼
    韦琳玲
    张檬
    李雨珊
    Chinese Physics B, 2012, 21 (10) : 178 - 182
  • [14] Synchronization of coupled systems with spatiotemporal chaos
    Grassberger, P
    PHYSICAL REVIEW E, 1999, 59 (03) : R2520 - R2522
  • [15] Unilaterally coupled synchronization of spatiotemporal chaos
    Zhang, X
    Shen, K
    ACTA PHYSICA SINICA, 2002, 51 (12) : 2702 - 2706
  • [16] Synchronization of discrete-time spatiotemporal chaos via adaptive fuzzy control
    Xue, YJ
    Yang, SY
    CHAOS SOLITONS & FRACTALS, 2003, 17 (05) : 967 - 973
  • [17] Projective lag synchronization of spatiotemporal chaos via active sliding mode control
    Chai, Yuan
    Chen, Li-Qun
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (08) : 3390 - 3398
  • [18] The synchronization without biased error in spatiotemporal chaos
    Liu, JB
    Dong, DC
    Song, WT
    Zhang, SJ
    Zhou, QG
    2001 IEEE PACIFIC RIM CONFERENCE ON COMMUNICATIONS, COMPUTERS AND SIGNAL PROCESSING, VOLS I AND II, CONFERENCE PROCEEDINGS, 2001, : 14 - 16
  • [19] Experimental synchronization of spatiotemporal chaos in nonlinear optics
    Ramazza, PL
    Bortolozzo, U
    Boccaletti, S
    PHYSICAL REVIEW E, 2006, 73 (03): : 1 - 4
  • [20] Control of chaos and synchronization
    Systems and Control Letters, 1997, 31 (05): : 259 - 262