Swift-Hohenberg equation with broken reflection symmetry.
Swift-Hohenberg equation with broken reflection symmetry.
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DOI：
10.1103/physreve.80.036202
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发表时间：
2009-09
期刊：
影响因子：
--
通讯作者：
J. Burke;S. Houghton;E. Knobloch
中科院分区：
文献类型：
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作者：
J. Burke;S. Houghton;E. Knobloch
Swift-Hohenberg方程具有各种与时间无关的空间定域解，这些解以所谓的蛇梯结构组织。这种结构是一种被称为同宿蛇行的现象的结果，并且反过来是方程的空间可逆性的结果。我们在这里研究的后果打破空间可逆的蛇和梯子的结构。我们发现，本地化的国家现在漂移，并显示，蛇和梯子结构分解成一个堆栈的孤立。我们探索这种新的结构的演变，增加可逆性打破和研究系统的动态的蛇形区域外使用的数值和分析技术相结合。
The bistable Swift-Hohenberg equation possesses a variety of time-independent spatially localized solutions organized in the so-called snakes-and-ladders structure. This structure is a consequence of a phenomenon known as homoclinic snaking, and is in turn a consequence of spatial reversibility of the equation. We examine here the consequences of breaking spatial reversibility on the snakes-and-ladders structure. We find that the localized states now drift, and show that the snakes-and-ladders structure breaks up into a stack of isolas. We explore the evolution of this new structure with increasing reversibility breaking and study the dynamics of the system outside of the snaking region using a combination of numerical and analytical techniques.