Low-dimensional models of the Ginzburg--Landau equation (Q2719100)
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scientific article; zbMATH DE number 1608769
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Low-dimensional models of the Ginzburg--Landau equation |
scientific article; zbMATH DE number 1608769 |
Statements
21 June 2001
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Ginzburg-Landau equation approximations
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low-dimensional numerical approximations
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variational principle
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Low-dimensional models of the Ginzburg--Landau equation (English)
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The author considers homogeneous Neumann boundary conditions and Dirichlet boundary conditions for a system of complex Ginzburg-Landau equations. By Fourier-Galerkin procedure, the equations are cast into a finite-dimensional dynamical description. A nonlinear variational principle is used to extracted principal interaction patterns from the system.
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