Using weighted global control for stabilizing patterned states

Vadim Panfilov; Moshe Sheintuch

doi:10.1063/1.166381

Using weighted global control for stabilizing patterned states

Vadim Panfilov^*, Moshe Sheintuch

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

A general method to control a desired patterned state in reaction-diffusion processes is presented. Weighted global control is aimed to keep weighted spatially averaged properties of state variable at preset values. It is shown that weighted global control creates a stable direction in the global space of system states and affects system dynamics globally. We apply it for a specific two-component reaction-diffusion system and show that the desired pattern is attainable for a wide range of the control parameters.

Original language	English
Pages (from-to)	78-87
Number of pages	10
Journal	Chaos
Volume	9
Issue number	1
DOIs	https://doi.org/10.1063/1.166381
State	Published - Mar 1999
Externally published	Yes

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title = "Using weighted global control for stabilizing patterned states",

abstract = "A general method to control a desired patterned state in reaction-diffusion processes is presented. Weighted global control is aimed to keep weighted spatially averaged properties of state variable at preset values. It is shown that weighted global control creates a stable direction in the global space of system states and affects system dynamics globally. We apply it for a specific two-component reaction-diffusion system and show that the desired pattern is attainable for a wide range of the control parameters.",

author = "Vadim Panfilov and Moshe Sheintuch",

year = "1999",

month = mar,

doi = "10.1063/1.166381",

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pages = "78--87",

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issn = "1054-1500",

publisher = "American Institute of Physics",

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T1 - Using weighted global control for stabilizing patterned states

AU - Panfilov, Vadim

AU - Sheintuch, Moshe

PY - 1999/3

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N2 - A general method to control a desired patterned state in reaction-diffusion processes is presented. Weighted global control is aimed to keep weighted spatially averaged properties of state variable at preset values. It is shown that weighted global control creates a stable direction in the global space of system states and affects system dynamics globally. We apply it for a specific two-component reaction-diffusion system and show that the desired pattern is attainable for a wide range of the control parameters.

AB - A general method to control a desired patterned state in reaction-diffusion processes is presented. Weighted global control is aimed to keep weighted spatially averaged properties of state variable at preset values. It is shown that weighted global control creates a stable direction in the global space of system states and affects system dynamics globally. We apply it for a specific two-component reaction-diffusion system and show that the desired pattern is attainable for a wide range of the control parameters.

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U2 - 10.1063/1.166381

DO - 10.1063/1.166381

M3 - 文章

AN - SCOPUS:0033096508

SN - 1054-1500

VL - 9

SP - 78

EP - 87

JO - Chaos

JF - Chaos

IS - 1

ER -

Using weighted global control for stabilizing patterned states

Abstract

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