Snakes and ladders: Localized states in the Swift-Hohenberg equation

被引：155

作者：

Burke, John ^{[1
]}

Knobloch, Edgar ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA

来源：

PHYSICS LETTERS A | 2007年 / 360卷 / 06期

基金：

美国国家科学基金会; 美国国家航空航天局;

关键词：

spatially localized states; homoclinic snaking; wavelength selection;

D O I：

10.1016/j.physleta.2006.08.072

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Swift-Hohenberg equation with cubic and quintic nonlinearities exhibits multiple stable and unstable spatially localized states of arbitrary length in the vicinity of the Maxwell point between spatially homogeneous and periodic states. The even and odd states are organized in a characteristic snaking structure and are connected by branches of mixed parity states forming a ladder-like structure. Numerical computations are used to illustrate the changes in the localized solutions as they grow in spatial extent and to determine the stability and wavelength of the resulting states. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：681 / 688

页数：8

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