Dynamics on the global attractor of a gradient flow arising from the Ginzburg-Landau equation

Konstantin Mischaikow; Yoshihisa Morita

doi:10.1007/BF03167221

Dynamics on the global attractor of a gradient flow arising from the Ginzburg-Landau equation

Konstantin Mischaikow, Yoshihisa Morita

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

14 Scopus citations

Abstract

The dynamics on the attractor for the complex Ginzburg-Landau equation u_t=v(1+iκ)u_xx+u-(1+iμ)|u|²u for parameter values μ≈κ is described via a semiconjugacy onto a simple ordinary differential equation difined on the unit disk in R^{2 K}

Original language	English (US)
Pages (from-to)	185-202
Number of pages	18
Journal	Japan Journal of Industrial and Applied Mathematics
Volume	11
Issue number	2
DOIs	https://doi.org/10.1007/BF03167221
State	Published - Jun 1994
Externally published	Yes

All Science Journal Classification (ASJC) codes

Engineering(all)
Applied Mathematics

Keywords

Ginzburg-Landau equation
Morse decomposition
global attractor
model flow

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10.1007/BF03167221

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title = "Dynamics on the global attractor of a gradient flow arising from the Ginzburg-Landau equation",

abstract = "The dynamics on the attractor for the complex Ginzburg-Landau equation ut=v(1+iκ)uxx+u-(1+iμ)|u|2u for parameter values μ≈κ is described via a semiconjugacy onto a simple ordinary differential equation difined on the unit disk in R2 K",

keywords = "Ginzburg-Landau equation, Morse decomposition, global attractor, model flow",

author = "Konstantin Mischaikow and Yoshihisa Morita",

year = "1994",

month = jun,

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AU - Mischaikow, Konstantin

AU - Morita, Yoshihisa

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N2 - The dynamics on the attractor for the complex Ginzburg-Landau equation ut=v(1+iκ)uxx+u-(1+iμ)|u|2u for parameter values μ≈κ is described via a semiconjugacy onto a simple ordinary differential equation difined on the unit disk in R2 K

AB - The dynamics on the attractor for the complex Ginzburg-Landau equation ut=v(1+iκ)uxx+u-(1+iμ)|u|2u for parameter values μ≈κ is described via a semiconjugacy onto a simple ordinary differential equation difined on the unit disk in R2 K

KW - Ginzburg-Landau equation

KW - Morse decomposition

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KW - model flow

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ER -

Dynamics on the global attractor of a gradient flow arising from the Ginzburg-Landau equation

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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