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The Ginzburg-Landau equation as a normal form for a second-order difference-differential equation with a large delay - MaRDI portal

The Ginzburg-Landau equation as a normal form for a second-order difference-differential equation with a large delay (Q1569366)

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scientific article; zbMATH DE number 1467894
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The Ginzburg-Landau equation as a normal form for a second-order difference-differential equation with a large delay
scientific article; zbMATH DE number 1467894

    Statements

    The Ginzburg-Landau equation as a normal form for a second-order difference-differential equation with a large delay (English)
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    3 July 2000
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    The author deals with the local dynamics of a second-order nonlinear difference-differential equation with ``large'' delay. It is shown that, in the vicinity of ``critical'' cases, the structure of solutions is determined by the dynamics of an equation of the Ginzburg-Landau type, which plays the role of a normal form.
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    difference-differential
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    normal form
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    delay
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    singularly perturbed
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    dynamics
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