Global feedback control of Turing patterns in network-organized activator-inhibitor systems

被引：31

作者：

Hata, S. ^{[1
,2
]}

Nakao, H. ^{[2
,3
]}

Mikhailov, A. S. ^{[4
]}

机构：

[1] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan

[2] JST CREST, Kyoto 6068502, Japan

[3] Tokyo Inst Technol, Dept Mech & Environm Informat, Tokyo 1528552, Japan

[4] Fritz Haber Inst Max Planck Gesell, Phys Chem Abt, D-14195 Berlin, Germany

来源：

EPL | 2012年 / 98卷 / 06期

关键词：

CONTROLLING TURBULENCE; UNSTABLE PATTERNS; STABILIZATION; MODEL; MOTION; WAVES; CHAOS;

D O I：

10.1209/0295-5075/98/64004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Results of the first systematic study on feedback control of nonequilibrium pattern formation in networks are reported. Effects of global feedback control on Turing patterns in network-organized activator-inhibitor system have been investigated. The feedback signal was introduced into one of the parameters of the system and was proportional to the amplitude of the developing Turing pattern. Without the control, the Turing instability corresponded to a subcritical bifurcation and hysteresis effects were observed. Sufficiently strong feedback control rendered, however, the bifurcation supercritical and eliminated the hysteresis effects. Copyright (C) EPLA, 2012

引用

页数：6

共 28 条

[1] Statistical mechanics of complex networks [J].

Albert, R ;

Barabási, AL .

REVIEWS OF MODERN PHYSICS, 2002, 74 (01) :47-97

[2] Emergence of scaling in random networks [J].

Barabási, AL ;

Albert, R .

SCIENCE, 1999, 286 (5439) :509-512

[3] Controlling turbulence in the complex Ginzburg-Landau equation .2. Two-dimensional systems [J].

Battogtokh, D ;

Preusser, A ;

Mikhailov, A .

PHYSICA D, 1997, 106 (3-4) :327-362

[4] Controlling turbulence in the complex Ginzburg-Landau equation [J].

Battogtokh, D ;

Mikhailov, A .

PHYSICA D, 1996, 90 (1-2) :84-95

[5] Experimental control of unstable patterns and elimination of spatiotemporal disorder in nonlinear optics [J].

Benkler, E ;

Kreuzer, M ;

Neubecker, R ;

Tschudi, T .

PHYSICAL REVIEW LETTERS, 2000, 84 (05) :879-882

[6] Pattern formation on the edge of chaos: Experiments with CO oxidation on a Pt(110) surface under global delayed feedback [J].

Bertram, M ;

Beta, C ;

Pollmann, M ;

Mikhailov, AS ;

Rotermund, HH ;

Ertl, G .

PHYSICAL REVIEW E, 2003, 67 (03) :9

[7]

Bertram M, 2001, PHYS REV E, V63, DOI 10.1103/PhysRevE.63.066102

[8] An experimental study on stabilization of unstable periodic motion in magneto-elastic chaos [J].

Hikihara, T ;

Kawagoshi, T .

PHYSICS LETTERS A, 1996, 211 (01) :29-36

[9] Controlling chemical turbulence by global delayed feedback: Pattern formation in catalytic CO oxidation on Pt(110) [J].

Kim, M ;

Bertram, M ;

Pollmann, M ;

von Oertzen, A ;

Mikhailov, AS ;

Rotermund, HH ;

Ertl, G .

SCIENCE, 2001, 292 (5520) :1357-1360

[10] BIFURCATION TO TRAVELING SPOTS IN REACTION-DIFFUSION SYSTEMS [J].

KRISCHER, K ;

MIKHAILOV, A .

PHYSICAL REVIEW LETTERS, 1994, 73 (23) :3165-3168

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