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.
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页数：7
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共 31 条
  • [1] Controlling dynamical systems using multiple delay feedback control
    Ahlborn, A
    Parlitz, U
    [J]. PHYSICAL REVIEW E, 2005, 72 (01):
  • [2] Laser stabilization with multiple-delay feedback control
    Ahlborn, A
    Parlitz, U
    [J]. OPTICS LETTERS, 2006, 31 (04) : 465 - 467
  • [3] Stabilizing unstable steady states using multiple delay feedback control
    Ahlborn, A
    Parlitz, U
    [J]. PHYSICAL REVIEW LETTERS, 2004, 93 (26)
  • [4] Controlling spatiotemporal chaos using multiple delays
    Ahlborn, Alexander
    Parlitz, Ulrich
    [J]. PHYSICAL REVIEW E, 2007, 75 (06):
  • [5] Taming Winfree turbulence of scroll waves in excitable media
    Alonso, S
    Sagués, F
    Mikhailov, AS
    [J]. SCIENCE, 2003, 299 (5613) : 1722 - 1725
  • [6] CONTROLLING SPATIOTEMPORAL CHAOS
    ARANSON, I
    LEVINE, H
    TSIMRING, L
    [J]. PHYSICAL REVIEW LETTERS, 1994, 72 (16) : 2561 - 2564
  • [7] Giant improvement of time-delayed feedback control by spatio-temporal filtering -: art. no. 074101
    Baba, N
    Amann, A
    Schöll, E
    Just, W
    [J]. PHYSICAL REVIEW LETTERS, 2002, 89 (07)
  • [8] Controlling turbulence in the complex Ginzburg-Landau equation
    Battogtokh, D
    Mikhailov, A
    [J]. PHYSICA D, 1996, 90 (1-2): : 84 - 95
  • [9] Pattern formation on the edge of chaos: Mathematical modeling of CO oxidation on a Pt(110) surface under global delayed feedback
    Bertram, M
    Mikhailov, AS
    [J]. PHYSICAL REVIEW E, 2003, 67 (03): : 036207/1 - 036207/11
  • [10] Drift of spiral waves in the complex Ginzburg-Landau equation due to media inhomogeneities
    Biktasheva, IV
    [J]. PHYSICAL REVIEW E, 2000, 62 (06): : 8800 - 8803
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