MULTIPULSE STATES IN THE SWIFT-HOHENBERG EQUATION
MULTIPULSE STATES IN THE SWIFT-HOHENBERG EQUATION
复制标题
Swift-Hohenberg 方程中的多脉冲状态
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
E. Knobloch
中科院分区：
文献类型：
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作者：
J. Burke;E. Knobloch
已知的一维Swift-Hohenberg方程表现出各种局域化
在所谓的钉扎或蛇形区域内的国家。单脉冲状态包括
空间域中的单个局部化结构，并被组织成
在钉扎区内有蛇和梯子结构。多脉冲状态由两个或多个
域中的本地化结构，但其在锁定中的详细组织
地区未知。在这篇文章中，我们考虑了一维的多脉冲解
Swift-Hohenberg方程，并且表明，虽然这些方程也是
受限于钉扎区，它们的组织细节取决于脉冲是否
是否等距。对于较大的域，所需的分支跟随变得微妙且
除非非常小心地执行，否则可能导致错误的结果。
The one-dimensional Swift-Hohenberg equation is known to exhibit a variety of localized
states within the so-called pinning or snaking region. Single-pulse states consist of
single localized structures within the spatial domain, and are organized into a
snakes-and-ladders structure within the pinning region. Multipulse states consist of two or more
localized structures within the domain, but their detailed organization within the pinning
region is not known. In this paper we consider multipulse solutions of the one-dimensional
Swift-Hohenberg equation on large but periodic domains, and show that while these are also
confined to the pinning region the details of their organization depend on whether the pulses
are equidistant or not. For large domains the required branch-following becomes delicate and
may lead to erroneous results unless performed with great care.
DOI：
10.1103/physreve.80.036202
发表时间：
2009-09
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
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作者：
J. Burke;S. Houghton;E. Knobloch
通讯作者：
J. Burke;S. Houghton;E. Knobloch