PATTERN SELECTION IN THE GENERALIZED SWIFT-HOHENBERG MODEL

被引：88

作者：

HILALI, MF ^{[1
]}

METENS, S ^{[1
]}

BORCKMANS, P ^{[1
]}

DEWEL, G ^{[1
]}

机构：

[1] FREE UNIV BRUSSELS,CTR NONLINEAR PHENOMENA & COMPLEX SYST,B-1050 BRUSSELS,BELGIUM

来源：

PHYSICAL REVIEW E | 1995年 / 51卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.51.2046

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The competition between patterns of different symmetries is studied for the generalized Swift-Hohenberg model in the presence of a large quadratic coupling in one dimension (1D) and 2D. It is shown that hexagons with different phase relations may coexist for some values of the control parameter. Numerical experiments exhibiting the effects of linear spatial ramps of the control parameter on this selection are presented. The analogy with recent patterns obtained experimentally in open chemical reactors is also discussed. © 1995 The American Physical Society.

引用

页码：2046 / 2052

页数：7

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