ON THE NUMBER OF DETERMINING NODES FOR THE GINZBURG-LANDAU EQUATION

被引：29
|
作者：
KUKAVICA, I
机构：
[1] Department of Mathematics, Indiana University, Bloomington, IN
来源：
NONLINEARITY | 1992年 / 5卷 / 05期
关键词：
D O I：
10.1088/0951-7715/5/5/001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the case of the complex Ginzburg-Landau equation in one space dimension it is proven that solutions are completely determined by their values at two sufficiently close points. As a consequence, an upper bound for the winding number of stationary solutions is established in terms of the bifurcation parameters. It is also proven that the fractal dimension of the set of stationary solutions is less than or equal to 4.
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页码：997 / 1006
页数：10
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