Two boundary value problems for the Ginzburg-Landau equation

L. Sirovich; J. D. Rodriguez; B. Knight

doi:10.1016/0167-2789(90)90016-I

Two boundary value problems for the Ginzburg-Landau equation

L. Sirovich, J. D. Rodriguez, B. Knight

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Abstract

Two boundary value problems for the Ginzburg-Landau equation are considered. Extensive numerical calculations have been performed in each case, including bifurcation histories, spectral analysis, Poincaré sections and Hausdorff dimension estimates. The approach to the inviscid limit is given detailed treatment. In this case universal behavior has been found to exist. Arguments are presented to account for this behavior.

Original language	English
Pages (from-to)	63-76
Number of pages	14
Journal	Physica D: Nonlinear Phenomena
Volume	43
Issue number	1
DOIs	https://doi.org/10.1016/0167-2789(90)90016-I
State	Published - May 1990
Externally published	Yes

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10.1016/0167-2789(90)90016-I

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title = "Two boundary value problems for the Ginzburg-Landau equation",

abstract = "Two boundary value problems for the Ginzburg-Landau equation are considered. Extensive numerical calculations have been performed in each case, including bifurcation histories, spectral analysis, Poincar{\'e} sections and Hausdorff dimension estimates. The approach to the inviscid limit is given detailed treatment. In this case universal behavior has been found to exist. Arguments are presented to account for this behavior.",

author = "L. Sirovich and Rodriguez, \{J. D.\} and B. Knight",

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AB - Two boundary value problems for the Ginzburg-Landau equation are considered. Extensive numerical calculations have been performed in each case, including bifurcation histories, spectral analysis, Poincaré sections and Hausdorff dimension estimates. The approach to the inviscid limit is given detailed treatment. In this case universal behavior has been found to exist. Arguments are presented to account for this behavior.

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Two boundary value problems for the Ginzburg-Landau equation

Abstract

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