Turbulence control by developing a spiral wave with a periodic signal injection in the complex Ginzburg-Landau equation

Hong Zhang; Bambi Hu; Gang Hu; Qi Ouyang; Jürgen Kurths

doi:10.1103/PhysRevE.66.046303

Turbulence control by developing a spiral wave with a periodic signal injection in the complex Ginzburg-Landau equation

Hong Zhang^*
, Bambi Hu
, Gang Hu
, Qi Ouyang
, Jürgen Kurths

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

39 Citations (Scopus)

Abstract

Turbulence control in the two-dimensional complex Ginzburg-Landau equation is investigated. An approach is proposed for the purpose of control. In the presence of a small spiral wave seed initiation, a fully developed turbulence can be completely annihilated by injecting a single periodic signal into a small fixed space area around the spiral wave tip. The control is achieved in a parameter region where the spiral wave of the uncontrolled system is absolutely unstable. The robustness, convenience, and high control efficiency of this method are emphasized, and the mechanism underlying these practical advantages is intuitively understood.

Original language	English
Article number	046303
Number of pages	5
Journal	Physical Review E
Volume	66
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.66.046303
Publication status	Published - 10 Oct 2002

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10.1103/PhysRevE.66.046303

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title = "Turbulence control by developing a spiral wave with a periodic signal injection in the complex Ginzburg-Landau equation",

abstract = "Turbulence control in the two-dimensional complex Ginzburg-Landau equation is investigated. An approach is proposed for the purpose of control. In the presence of a small spiral wave seed initiation, a fully developed turbulence can be completely annihilated by injecting a single periodic signal into a small fixed space area around the spiral wave tip. The control is achieved in a parameter region where the spiral wave of the uncontrolled system is absolutely unstable. The robustness, convenience, and high control efficiency of this method are emphasized, and the mechanism underlying these practical advantages is intuitively understood.",

author = "Hong Zhang and Bambi Hu and Gang Hu and Qi Ouyang and J{\"u}rgen Kurths",

note = "This work was supported in part by grants from Hong Kong Research Grants Council (RGC), the Hong Kong Baptist University Faculty Research Grant (FRG), the National Nature Science Foundation of China, and the Nonlinear Science Project of China. Publisher copyright: {\textcopyright} 2002 American Physical Society",

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AU - Zhang, Hong

AU - Hu, Bambi

AU - Hu, Gang

AU - Ouyang, Qi

AU - Kurths, Jürgen

N1 - This work was supported in part by grants from Hong Kong Research Grants Council (RGC), the Hong Kong Baptist University Faculty Research Grant (FRG), the National Nature Science Foundation of China, and the Nonlinear Science Project of China. Publisher copyright: © 2002 American Physical Society

PY - 2002/10/10

Y1 - 2002/10/10

N2 - Turbulence control in the two-dimensional complex Ginzburg-Landau equation is investigated. An approach is proposed for the purpose of control. In the presence of a small spiral wave seed initiation, a fully developed turbulence can be completely annihilated by injecting a single periodic signal into a small fixed space area around the spiral wave tip. The control is achieved in a parameter region where the spiral wave of the uncontrolled system is absolutely unstable. The robustness, convenience, and high control efficiency of this method are emphasized, and the mechanism underlying these practical advantages is intuitively understood.

AB - Turbulence control in the two-dimensional complex Ginzburg-Landau equation is investigated. An approach is proposed for the purpose of control. In the presence of a small spiral wave seed initiation, a fully developed turbulence can be completely annihilated by injecting a single periodic signal into a small fixed space area around the spiral wave tip. The control is achieved in a parameter region where the spiral wave of the uncontrolled system is absolutely unstable. The robustness, convenience, and high control efficiency of this method are emphasized, and the mechanism underlying these practical advantages is intuitively understood.

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VL - 66

JO - Physical Review E

JF - Physical Review E

IS - 4

M1 - 046303

ER -

Turbulence control by developing a spiral wave with a periodic signal injection in the complex Ginzburg-Landau equation

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