Pattern formation on the edge of chaos: Mathematical modeling of CO oxidation on a Pt(110) surface under global delayed feedback

被引：51
作者：
Bertram, M [1 ]
Mikhailov, AS [1 ]
机构：
[1] Max Planck Gesell, Fritz Haber Inst, D-14195 Berlin, Germany
来源：
PHYSICAL REVIEW E | 2003年 / 67卷 / 03期
关键词：
D O I：
10.1103/PhysRevE.67.036207
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：
Effects of global delayed feedback on diffusion-induced turbulence are studied in a realistic model of catalytic oxidation of carbon monoxide on Pt(110). Spatiotemporal patterns resulting from numerical simulations of this model are identified and analyzed using a transformation into the phase and the amplitude of local oscillations. We find that chemical turbulence can be efficiently controlled by varying the feedback intensity and the delay time in the feedback loop. Near the transition from turbulence to uniform oscillations, various chaotic and regular spatiotemporal patterns-intermittent turbulence, two-phase clusters, cells of hexagonal symmetry, and phase turbulence-are found.
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收藏
页码：036207/1 / 036207/11
页数：11
相关论文
共 46 条
  • [1] CONTROLLING SPATIOTEMPORAL CHAOS
    ARANSON, I
    LEVINE, H
    TSIMRING, L
    [J]. PHYSICAL REVIEW LETTERS, 1994, 72 (16) : 2561 - 2564
  • [2] The world of the complex Ginzburg-Landau equation
    Aranson, IS
    Kramer, L
    [J]. REVIEWS OF MODERN PHYSICS, 2002, 74 (01) : 99 - 143
  • [3] SPIRAL WAVES IN A SURFACE-REACTION - MODEL-CALCULATIONS
    BAR, M
    GOTTSCHALK, N
    EISWIRTH, M
    ERTL, G
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1994, 100 (02) : 1202 - 1214
  • [4] BAR M, 1993, PHYS REV E, V48, pR1635
  • [5] Controlling turbulence in the complex Ginzburg-Landau equation .2. Two-dimensional systems
    Battogtokh, D
    Preusser, A
    Mikhailov, A
    [J]. PHYSICA D, 1997, 106 (3-4): : 327 - 362
  • [6] Controlling turbulence in the complex Ginzburg-Landau equation
    Battogtokh, D
    Mikhailov, A
    [J]. PHYSICA D, 1996, 90 (1-2): : 84 - 95
  • [7] Comparison of time-delayed feedback schemes for spatiotemporal control of chaos in a reaction-diffusion system with global coupling -: art. no. 016213
    Beck, O
    Amann, A
    Schöll, E
    Socolar, JES
    Just, W
    [J]. PHYSICAL REVIEW E, 2002, 66 (01):
  • [8] Experimental control of unstable patterns and elimination of spatiotemporal disorder in nonlinear optics
    Benkler, E
    Kreuzer, M
    Neubecker, R
    Tschudi, T
    [J]. PHYSICAL REVIEW LETTERS, 2000, 84 (05) : 879 - 882
  • [9] Pattern formation on the edge of chaos: Experiments with CO oxidation on a Pt(110) surface under global delayed feedback
    Bertram, M
    Beta, C
    Pollmann, M
    Mikhailov, AS
    Rotermund, HH
    Ertl, G
    [J]. PHYSICAL REVIEW E, 2003, 67 (03): : 9
  • [10] Bertram M, 2001, PHYS REV E, V63, DOI 10.1103/PhysRevE.63.066102
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