Unstable subsystems cause Turing instability (Q447776): Difference between revisions
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scientific article | scientific article; zbMATH DE number 6073745 | ||
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| Property / review text: From the authors' abstract: ``We study Turing instabilities in 3-component reaction-diffusion systems. The existence of a complementary pair of stable-unstable subsystems always gives rise to Turing instability for suitable diagonal diffusion matrices. There are two types of Turing instability, one called steady instability and the other wave instability. To determine which of the two types of instability actually occurs, easily verifiable conditions on unstable subsystems are given. A complementary pair of unstable-unstable subsystems in a stable full system also leads to steady instability. Our results give a perspective to the rich variety and complexity of pattern dynamics in 3-component systems of reaction-diffusion equations at the onset.'' The paper is clear and well written on an important topic but the references are a bit outdated. / rank | |||
| Property / review text | |||
From the authors' abstract: ``We study Turing instabilities in 3-component reaction-diffusion systems. The existence of a complementary pair of stable-unstable subsystems always gives rise to Turing instability for suitable diagonal diffusion matrices. There are two types of Turing instability, one called steady instability and the other wave instability. To determine which of the two types of instability actually occurs, easily verifiable conditions on unstable subsystems are given. A complementary pair of unstable-unstable subsystems in a stable full system also leads to steady instability. Our results give a perspective to the rich variety and complexity of pattern dynamics in 3-component systems of reaction-diffusion equations at the onset.''NEWLINENEWLINEThe paper is clear and well written on an important topic but the references are a bit outdated. | |||
| Property / review text: From the authors' abstract: ``We study Turing instabilities in 3-component reaction-diffusion systems. The existence of a complementary pair of stable-unstable subsystems always gives rise to Turing instability for suitable diagonal diffusion matrices. There are two types of Turing instability, one called steady instability and the other wave instability. To determine which of the two types of instability actually occurs, easily verifiable conditions on unstable subsystems are given. A complementary pair of unstable-unstable subsystems in a stable full system also leads to steady instability. Our results give a perspective to the rich variety and complexity of pattern dynamics in 3-component systems of reaction-diffusion equations at the onset.''NEWLINENEWLINEThe paper is clear and well written on an important topic but the references are a bit outdated. / rank | |||
Normal rank | |||
Latest revision as of 18:24, 28 June 2025
scientific article; zbMATH DE number 6073745
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unstable subsystems cause Turing instability |
scientific article; zbMATH DE number 6073745 |
Statements
Unstable subsystems cause Turing instability (English)
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29 August 2012
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3-dimensional Turing instability
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unstable subsystems
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reaction diffusion equations
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0.86114705
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0.80053246
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0.79711866
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0.7920976
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0.7903008
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0.78738225
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From the authors' abstract: ``We study Turing instabilities in 3-component reaction-diffusion systems. The existence of a complementary pair of stable-unstable subsystems always gives rise to Turing instability for suitable diagonal diffusion matrices. There are two types of Turing instability, one called steady instability and the other wave instability. To determine which of the two types of instability actually occurs, easily verifiable conditions on unstable subsystems are given. A complementary pair of unstable-unstable subsystems in a stable full system also leads to steady instability. Our results give a perspective to the rich variety and complexity of pattern dynamics in 3-component systems of reaction-diffusion equations at the onset.''NEWLINENEWLINEThe paper is clear and well written on an important topic but the references are a bit outdated.
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