Analytical study of spatiotemporal chaos control by applying local injections

Gang Hu; Jinghua Xiao; Jihua Gao; Xiangming Li; Yugui Yao; Bambi Hu

doi:10.1103/PhysRevE.62.R3043

Analytical study of spatiotemporal chaos control by applying local injections

Gang Hu
, Jinghua Xiao
, Jihua Gao
, Xiangming Li
, Yugui Yao
, Bambi Hu

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

38 Citations (Scopus)

Abstract

Spatiotemporal chaos control by applying local feedback injections is investigated analytically. The influence of gradient force on the controllability is investigated. It is shown that as the gradient force of the system is larger than a critical value, local control can reach very high efficiency to drive the turbulent system of infinite size to a regular target state by using a single control signal. The complex Ginzburg-Landau equation is used as a model to confirm the above analysis, and a four-wave-mixing mode is revealed to determine the dynamical behavior of the controlled system at the onset of instability.

Original language	English
Pages (from-to)	R3043-R3046
Number of pages	4
Journal	Physical Review E
Volume	62
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.62.R3043
Publication status	Published - 1 Sept 2000

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10.1103/PhysRevE.62.R3043

Cite this

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title = "Analytical study of spatiotemporal chaos control by applying local injections",

abstract = "Spatiotemporal chaos control by applying local feedback injections is investigated analytically. The influence of gradient force on the controllability is investigated. It is shown that as the gradient force of the system is larger than a critical value, local control can reach very high efficiency to drive the turbulent system of infinite size to a regular target state by using a single control signal. The complex Ginzburg-Landau equation is used as a model to confirm the above analysis, and a four-wave-mixing mode is revealed to determine the dynamical behavior of the controlled system at the onset of instability.",

author = "Gang Hu and Jinghua Xiao and Jihua Gao and Xiangming Li and Yugui Yao and Bambi Hu",

note = "This research was supported by the National Natural Science Foundation of China, the Nonlinear Science Project of China, and the Foundation of Doctoral training of Educational Bureau of China. Publisher copyright: {\textcopyright} 2000 American Physical Society",

year = "2000",

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doi = "10.1103/PhysRevE.62.R3043",

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T1 - Analytical study of spatiotemporal chaos control by applying local injections

AU - Hu, Gang

AU - Xiao, Jinghua

AU - Gao, Jihua

AU - Li, Xiangming

AU - Yao, Yugui

AU - Hu, Bambi

N1 - This research was supported by the National Natural Science Foundation of China, the Nonlinear Science Project of China, and the Foundation of Doctoral training of Educational Bureau of China. Publisher copyright: © 2000 American Physical Society

PY - 2000/9/1

Y1 - 2000/9/1

N2 - Spatiotemporal chaos control by applying local feedback injections is investigated analytically. The influence of gradient force on the controllability is investigated. It is shown that as the gradient force of the system is larger than a critical value, local control can reach very high efficiency to drive the turbulent system of infinite size to a regular target state by using a single control signal. The complex Ginzburg-Landau equation is used as a model to confirm the above analysis, and a four-wave-mixing mode is revealed to determine the dynamical behavior of the controlled system at the onset of instability.

AB - Spatiotemporal chaos control by applying local feedback injections is investigated analytically. The influence of gradient force on the controllability is investigated. It is shown that as the gradient force of the system is larger than a critical value, local control can reach very high efficiency to drive the turbulent system of infinite size to a regular target state by using a single control signal. The complex Ginzburg-Landau equation is used as a model to confirm the above analysis, and a four-wave-mixing mode is revealed to determine the dynamical behavior of the controlled system at the onset of instability.

UR - https://www.scopus.com/pages/publications/0343777353

U2 - 10.1103/PhysRevE.62.R3043

DO - 10.1103/PhysRevE.62.R3043

M3 - Journal article

AN - SCOPUS:0343777353

SN - 2470-0045

VL - 62

SP - R3043-R3046

JO - Physical Review E

JF - Physical Review E

IS - 3

ER -

Analytical study of spatiotemporal chaos control by applying local injections

Abstract

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