Periodic solutions of the Ginzburg-Landau equation (Q1089496)
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scientific article; zbMATH DE number 4004703
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions of the Ginzburg-Landau equation |
scientific article; zbMATH DE number 4004703 |
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Periodic solutions of the Ginzburg-Landau equation (English)
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1986
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Spatially periodic solutions to the Ginzburg-Landau equation are considered. In particular we obtain: criteria for primary and secondary bifurcation; limit cycle solutions; nonlinear dispersion relations relating spatial and temporal frequencies. Only relatively simple tools appear in the treatment and as a result a wide range of parameter cases are considered. Finally we briefly treat the case of spatial bifurcations.
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Spatially periodic solutions
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Ginzburg-Landau equation
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bifurcation
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limit cycle solutions
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nonlinear dispersion relations
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